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1.

図書
図書
1. An invitation to quantum cohomology : Kontsevich's formula for rational plane curves
Joachim Kock, Israel Vainsencher
出版情報: Boston : Birkhäuser, c2007  xii, 159 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 249
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Preface
Introduction
Prologue: Warming up with Cross Ratios, and the Definition of Moduli Space / 0：
Cross ratios / 0.1：
Definition of moduli space / 0.2：
Stable n-pointed Curves / 1：
n-pointed smooth rational curves / 1.1：
Stable n-pointed rational curves / 1.2：
Stabilization, forgetting marks, contraction / 1.3：
Sketch of the construction of [Characters not reproducible subscript 0,n] / 1.4：
The boundary / 1.5：
Generalizations and references / 1.6：
Stable Maps / 2：
Maps P[superscript 1 Characters not reproducible] P[superscript r] / 2.1：
1-parameter families / 2.2：
Kontsevich stable maps / 2.3：
Idea of the construction of [Characters not reproducible subscript 0,n] (P[superscript r], d) / 2.4：
Evaluation maps / 2.5：
Forgetful maps / 2.6：
Easy properties and examples / 2.7：
Complete conics / 2.9：
Enumerative Geometry via Stable Maps / 2.10：
Classical enumerative geometry / 3.1：
Counting conics and rational cubics via stable maps / 3.2：
Kontsevich's formula / 3.3：
Transversality and enumerative significance / 3.4：
Stable maps versus rational curves / 3.5：
Gromov-Witten Invariants / 3.6：
Definition and enumerative interpretation / 4.1：
Properties of Gromov-Witten invariants / 4.2：
Recursion / 4.3：
The reconstruction theorem / 4.4：
Quantum Cohomology / 4.5：
Quick primer on generating functions / 5.1：
The Gromov-Witten potential and the quantum product / 5.2：
Associativity / 5.3：
Kontsevich's formula via quantum cohomology / 5.4：
Bibliography / 5.5：
Index
Preface
Introduction
Prologue: Warming up with Cross Ratios, and the Definition of Moduli Space / 0：
2.

図書
図書
2. Quantum measurements and decoherence : models and phenomenology
by Michael B. Mensky
出版情報: Dordrecht ; Boston : Kluwer Academic, c2000  xvi, 226 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 110
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3.

図書
図書
3. Quantum chemistry : classic scientific papers
translated and edited by Hinne Hettema
出版情報: Singapore ; London : World Scientific, c2000  xxxix, 478 p. ; 26 cm
シリーズ名: World scientific series in 20th century chemistry ; v. 8
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4.

図書
図書
4. Quantum reflections
edited by John Ellis and Daniele Amati
出版情報: New York : Cambridge University Press, 2000  xiv, 202 p. ; 26 cm
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5.

図書
図書
5. Quantum mechanics (: hbk)
K.T. Hecht
出版情報: New York : Springer, c2000  xix, 760 p. ; 25 cm
シリーズ名: Graduate texts in contemporary physics
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6.

図書
図書
6. Tapping the zero-point energy
Moray B. King
出版情報: Kempton, Ill. : Adventures Unlimited Press, c2002  iii, 173 p. ; 22 cm
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7.

図書
図書
7. A quantum groups primer (: pbk)
Shahn Majid
出版情報: Cambridge ; New York : Cambridge University Press, 2002  x, 169 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 292
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8.

図書
図書
8. Quantum physics. 3rd ed (: Main book ; : Wiley international ed)
Stephen Gasiorowicz
出版情報: Hoboken, N.J. : Wiley, c2003  xvi, 336 p. ; 26 cm
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Wave Particle Duality, Probability, and the Schrödinger Equation
Eigenvalues, Eigenfunctions, and the Expansion Postulate
One-Dimensional Potentials
The General Structure of Wave Mechanics
Operator Methods in Quantum Mechanics
Angular Momentum
The Schrödinger Equation in Three Dimensions and the Hydrogen Atom
Matrix Representation of Operators
Spin
Time-Independent Perturbation Theory
The Real Hydrogen Atom
Many Particle Systems
About Atoms and Molecules
Time-Dependent Perturbation Theory
The Interaction of Charged Particles with the Electromagnetic Field
Radioactive Decays
Selected Topics on Radiation
Collision Theory
Entanglement and Its Implications
Physical Constants
References
The Emergence of Quantum Physics
Wave Particle Duality, Probability, and the Schrödinger Equation
The Schrödinger Equation in Three Dimensions and the Hydrogen Atom
Radiative Decays
Index
Wave Particle Duality, Probability, and the Schrödinger Equation
Eigenvalues, Eigenfunctions, and the Expansion Postulate
One-Dimensional Potentials
9.

図書
図書
9. The geometric phase in quantum systems : foundations, mathematical concepts, and applications in molecular and condensed matter physics
A. Bohm ... [et al.]
出版情報: Berlin ; Tokyo : Springer, c2003  xv, 439 p. ; 25 cm
シリーズ名: Texts and monographs in physics
Physics and astronomy online library
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10.

図書
図書
10. Quantum theory of tunneling (: pbk ; : hard)
Mohsen Razavy
出版情報: Singapore : World Scientific, c2003  xxi, 549 p. ; 25 cm
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Preface
A Brief History of Quantum Tunneling / 1：
Some Basic Questions Concerning Quantum Tunneling / 2：
Tunneling and the Uncertainty Principle / 2.1：
Decay of a Quasistationary State / 2.2：
Semi-Classical Approximations / 3：
The WKB Approximation / 3.1：
Method of Miller and Good / 3.2：
Calculation of the Splitting of Levels in a Symmetric Double-Well Potential Using WKB Approximation / 3.3：
Generalization of the Bohr-Sommerfeld Quantization Rule and its Application to Quantum Tunneling / 4：
The Bohr-Sommerfeld Method for Tunneling in Symmetric and Asymmetric Wells / 4.1：
Numerical Examples / 4.2：
Gamow's Theory, Complex Eigenvalues, and the Wave Function of a Decaying State / 5：
Solution of the Schrodinger Equation with Radiating Boundary Condition / 5.1：
The Time Development of a Wave PacketTrapped Behind a Barrier / 5.2：
A More Accurate Determination of the Wave Function of a Decaying State / 5.3：
Some Instances Where WKB Approximation and the Gamow Formula Do Not Work / 5.4：
Simple Solvable Problems / 6：
Confining Double-Well Potentials / 6.1：
Time-dependent Tunneling for a [delta]-Function Barrier / 6.2：
Tunneling Through Barriers of Finite Extent / 6.3：
Tunneling Through a Series of Identical Rectangular Barriers / 6.4：
Eckart's Potential / 6.5：
Double-Well Morse Potential / 6.6：
Tunneling in Confining Symmetric and Asymmetric Double-Wells / 7：
Tunneling When the Barrier is Nonlocal / 7.1：
Tunneling in Separable Potentials / 7.2：
A Solvable Asymmetric Double-Well Potential / 7.3：
Quasi-Solvable Examples of Symmetric and Asymmetric Double-Wells / 7.4：
Gel'fand-Levitan Method / 7.5：
Darboux's Method / 7.6：
Optical Potential Barrier Separating Two Symmetric or Asymmetric Wells / 7.7：
A Classical Description of Tunneling / 8：
Tunneling in Time-Dependent Barriers / 9：
Multi-Channel Schrodinger Equation for Periodic Potentials / 9.1：
Tunneling Through an Oscillating Potential Barrier / 9.2：
Separable Tunneling Problems with Time-Dependent Barriers / 9.3：
Penetration of a Particle Inside a Time-Dependent Potential Barrier / 9.4：
Decay Width and the Scattering Theory / 10：
Scattering Theory and the Time-Dependent Schrodinger Equation / 10.1：
An Approximate Method of Calculating the Decay Widths / 10.2：
Time-Dependent Perturbation Theory Applied to the Calculation of Decay Widths of Unstable States / 10.3：
Early Stages of Decay via Tunneling / 10.4：
An Alternative Way of Calculating the Decay Width Using the Second Order Perturbation Theory / 10.5：
Tunneling Through Two Barriers / 10.6：
Escape from a Potential Well by Tunneling Through both Sides / 10.7：
Decay of the Initial State and the Jost Function / 10.8：
The Method of Variable Reflection Amplitude Applied to Solve Multichannel Tunneling Problems / 11：
Mathematical Formulation / 11.1：
Matrix Equations and Semi-classical Approximation for Many-Channel Problems / 11.2：
Path Integral and Its Semi-Classical Approximation in Quantum Tunneling / 12：
Application to the S-Wave Tunneling of a Particle Through a Central Barrier / 12.1：
Method of Euclidean Path Integral / 12.2：
An Example of Application of the Path Integral Method in Tunneling / 12.3：
Complex Time, Path Integrals and Quantum Tunneling / 12.4：
Path Integral and the Hamilton-Jacobi Coordinates / 12.5：
Remarks About the Semi-Classical Propagator and Tunneling Problem / 12.6：
Heisenberg's Equations of Motion for Tunneling / 13：
The Heisenberg Equations of Motion for Tunneling in Symmetric and Asymmetric Double-Wells / 13.1：
Tunneling in a Symmetric Double-Well / 13.2：
Tunneling in an Asymmetric Double-Well / 13.3：
Tunneling in a Potential Which Is the Sum of Inverse Powers of the Radial Distance / 13.4：
Klein's Method for the Calculation of the Eigenvalues of a Confining Double-Well Potential / 13.5：
Wigner Distribution Function in Quantum Tunneling / 14：
Wigner Distribution Function and Quantum Tunneling / 14.1：
Wigner Trajectory for Tunneling in Phase Space / 14.2：
Wigner Distribution Function for an Asymmetric Double-Well / 14.3：
Wigner Trajectory for an Oscillating Wave Packet / 14.4：
Margenau-Hill Distribution Function for a Double-Well Potential / 14.5：
Complex Scaling and Dilatation Transformation Applied to the Calculation of the Decay Width / 15：
Multidimensional Quantum Tunneling / 16：
The Semi-classical Approach of Kapur and Peierls / 16.1：
Wave Function for the Lowest Energy State / 16.2：
Calculation of the Low-Lying Wave Functions by Quadrature / 16.3：
Method of Quasilinearization Applied to the Problem of Multidimensional Tunneling / 16.4：
Solution of the General Two-Dimensional Problems / 16.5：
The Most Probable Escape Path / 16.6：
Group and Signal Velocities / 17：
Time-Delay, Reflection Time Operator and Minimum Tunneling Time / 18：
Time-Delay in Tunneling / 18.1：
Time-Delay for Tunneling of a Wave Packet / 18.2：
Landauer and Martin Criticism of the Definition of the Time-Delay in Quantum Tunneling / 18.3：
Time-Delay in Multi-Channel Tunneling / 18.4：
Reflection Time in Quantum Tunneling / 18.5：
Minimum Tunneling Time / 18.6：
More about Tunneling Time / 19：
Dwell and Phase Tunneling Times / 19.1：
Buttiker and Landauer Time / 19.2：
Larmor Precession / 19.3：
Tunneling Time and its Determination Using the Internal Energy of a Simple Molecule / 19.4：
Intrinsic Time / 19.5：
A Critical Study of the Tunneling Time Determination by a Quantum Clock / 19.6：
Tunneling Time According to Low and Mende / 19.7：
Tunneling of a System with Internal Degrees of Freedom / 20：
Lifetime of Coupled-Channel Resonances / 20.1：
Two-Coupled Channel Problem with Spherically Symmetric Barriers / 20.2：
A Numerical Example / 20.3：
Tunneling of a Simple Molecule / 20.4：
Tunneling of a Molecule in Asymmetric Double-Wells / 20.5：
Tunneling of a Molecule Through a Potential Barrier / 20.6：
Antibound State of a Molecule / 20.7：
Motion of a Particle in a Space Bounded by a Surface of Revolution / 21：
Testing the Accuracy of the Present Method / 21.1：
Calculation of the Eigenvalues / 21.2：
Relativistic Formulation of Quantum Tunneling / 22：
One-Dimensional Tunneling of the Electrons / 22.1：
Tunneling of Spinless Particles in One Dimension / 22.2：
Tunneling Time in Special Relativity / 22.3：
The Inverse Problem of Quantum Tunneling / 23：
A Method for Finding the Potential from the Reflection Amplitude / 23.1：
Determination of the Shape of the Potential Barrier in One-Dimensional Tunneling / 23.2：
Prony's Method of Determination of Complex Energy Eigenvalues / 23.3：
The Inverse Problem of Tunneling for Gamow States / 23.4：
Some Examples of Quantum Tunneling in Atomic and Molecular Physics / 24：
Torsional Vibration of a Molecule / 24.1：
Electron Emission from the Surface of Cold Metals / 24.2：
Ionization of Atoms in Very Strong Electric Field / 24.3：
A Time-Dependent Formulation of Ionization in an Electric Field / 24.4：
Ammonia Maser / 24.5：
Optical Isomers / 24.6：
Three-Dimensional Tunneling in the Presence of a Constant Field of Force / 24.7：
Examples from Condensed Matter Physics / 25：
The Band Theory of Solids and the Kronig-Penney Model / 25.1：
Tunneling in Metal-Insulator-Metal Structures / 25.2：
Many Electron Formulation of the Current / 25.3：
Electron Tunneling Through Hetero-structures / 25.4：
Alpha Decay / 26：
Index
Preface
A Brief History of Quantum Tunneling / 1：
Some Basic Questions Concerning Quantum Tunneling / 2：
11.

図書
図書
11. Quantum mechanics for chemists
David O. Hayward
出版情報: Cambridge, U.K. : Royal Society of Chemistry, c2002  vii, 184 p. ; 25 cm
シリーズ名: Tutorial chemistry texts ; 14
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Particle-Wave Duality
Particle in a One-dimensional Box
Uncertainty Arising from the Wave Nature of Matter
The One-dimensional Schrödinger Wave Equation and Some of its Applications
Rotational Motion
The Hydrogen Atom
Further Concepts in Quantum Mechanics and Their Application to Many-electron Atoms
The Structure of Molecules
Answers to problems
Subject Index
Particle-Wave Duality
Particle in a One-dimensional Box
Uncertainty Arising from the Wave Nature of Matter
12.

図書
図書
12. Quantum communication and information technologies (: pbk)
edited by Alexander S. Shumovsky and Valery I. Rupasov
出版情報: Dordrecht : Kluwer Academic, c2003  xvi, 349 p. ; 25 cm
シリーズ名: NATO science series ; Sub-series II . Mathematics, physics, and chemistry ; v. 113
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Preface
Contributing Authors
Introduction
Schmidt-mode Analysis of Entanglement for Quantum Information Studies / J.H. Eberly ; K. W. Chan ; C. K. Law
The Schmidt Theorem / 1：
Finite Hilbert space / 3：
Quantum Entanglement in Very Large State Spaces / 4：
Beyond Spontaneous Emission / 5：
Summary / 6：
Quantum Metrology and Quantum Information Processing with Hyper-entangled Quantum States / A. V. Sergienko ; G. S. Jaeger ; G. Di Giuseppe ; Bahaa E. A. Saleh ; Malvin C. Teich
Hyperentangled State Engineering
Quantum Metrology and Quantum Information
Conclusion
Optimal Manipulations with Quantum Information: Universal Quantum Machines / Vladimir Buzek
Bell Telephone & FLASH
No-cloning Theorem
Universal Quantum Cloners
No-signaling & Linearity of Quantum Mechanics
Cloning, Signaling & POVM
Flipping Qubits: Universal NOT Gate / 7：
Experimental Realization of U-NOT Gate / 8：
Proof of Theorem I / 9：
An Introduction to Quantum Imaging / L.A. Lugiato ; A. Gatti ; E. Brambilla
The Optical Parametric Amplifier and Its Spatial Quantum Properties
Detection of Weak Amplitude or Phase Objects Beyond the Standard Quantum Limit
Quantum Imaging with Entangled Photon Pairs
Image Amplification by Parametric Down Conversion
Measurement of Small Displacements
Image Reconstruction
Lecture notes on quantum-nondemolition measurements in optics / Victor V. Kozlov
Back-action in repeated quantum measurements
QND measurements of photon number in a cavity
Formal QND requirements
QND measurements via Kerr interaction
QND measurements of solitons in optical fibers
Cavity Quantum Electrodynamics with Single Atoms / Herbert Walther
Review of the One-Atom Maser
Generation of Fock States in the One-Atom Maser
Cavity Quantum Electrodynamics with Trapped Ions
Multipole Radiation in Quantum Domain / Alexander S. Shumovsky ; M. Ali Can ; Oney Soykal
Quantization of Multipole Radiation
Angular Momentum of Multipole Photons
Quantum Phase of E1 Photons
Polarization of Multipole Photons
Theory of Atomic Hyperfine Structure / Anatoly V. Andreev
Equation for Spin 1/2 Particle Interacting with Electromagnetic Field
Interaction of Electron with Electric and Magnetic Fields
Discussion
Interaction of Mesoscopic Devices with non-classical Electromagnetic Fields / A. Vourdas
AC Aharonov-Bohm Phenomena
Interaction of Josephson Devices with non-classical Microwaves
Dual Phenomena with Vortex Condensates in Josephson Array Insulating Rings
References
Resonance Quantum Optics of Photonic Crystals / Valery I. Rupasov
Generalized Quantum Maxwell-Bloch Model
Quantum Version of McCall-Hahn Theory
One-particle Problem in Generalized QMB Model
Hidden Bethe Basis for Free Polariton Field
Exact Diagonalization of Generalized QMB Model
SIT Pulses in Dispersive Medium
Polarization Effects
Photonic Crystals For Communications / Thomas F. Krauss
Fabrication
Waveguide Propagation Losses
Y-Junctions
Dispersion
Spectral Dispersion
Discussion and Conclusion
Physics and Applications of Defect Structures in Photonic Crystals / Ekmel Ozbay ; Mehmet Bayindir
Localized Coupled-Cavity Modes in Photonic Crystals
Coupled-Cavities in 3D Photonic Crystals
Highly Confined Photonic Crystal Waveguides
Coherence and Superfluidity in Atomic Gases / M.P. Tosi
Bose-condensed Gases of Alkali Atoms Inside Harmonic Traps
Condensates in Optical Lattices
Confined Fermi Gases and Boson-fermion Mixtures
Concluding Remarks
Different Scattering Regimes in Two-dimensional Bose-Einstein Condensates / B. Tanatar
Theory
Results and Discussion
Summary and Concluding Remarks
An Information-theoretic Analysis of Grover's Algorithm / Erdal Arikan
A General Framework for Quantum Search
Grover's Algorithm
Index
Lecture Notes on Quantum-nondemolition Measurements in Optics / K.W. Chan ; C.K. Law ; A.V. Sergienko ; G.S. Jaeger ; G. di Giuseppe ; B.E.A. Saleh ; M.C. Teich ; V. Buzek ; V.V. Kozlov
Interaction of Mesoscopic Devices with Non-classical Electromagnetic Fields / H. Walther ; A.S. Schumovsky ; M.A. Can ; +. Soykal ; A.V. Andreev
Photonic Crystals for Communications / V.I. Rupasov ; T.F. Krauss
Coherence and Superfluidity of Atomic Gases / E. Ozbay ; M. Bayinder
An Information-theoretic Analysis of Grover's Algorithm / E. Arikan
Preface
Contributing Authors
Introduction
13.

図書
図書
13. A quantum approach to condensed matter physics (: hbk ; : pbk)
Philip L. Taylor, Olle Heinonen
出版情報: Cambridge, UK : Cambridge University Press, 2002  x, 414 p. ; 25 cm
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Preface
Semiclassical introduction / Chapter 1：
Elementary excitations / 1.1：
Phonons / 1.2：
Solitons / 1.3：
Magnons / 1.4：
Plasmons / 1.5：
Electron quasiparticles / 1.6：
The electron--phonon interaction / 1.7：
The quantum Hall effect / 1.8：
Problems
Second quantization and the electron gas / Chapter 2：
A single electron / 2.1：
Occupation numbers / 2.2：
Second quantization for fermions / 2.3：
The electron gas and the Hartree--Fock approximation / 2.4：
Perturbation theory / 2.5：
The density operator / 2.6：
The random phase approximation and screening / 2.7：
Spin waves in the electron gas / 2.8：
Boson systems / Chapter 3：
Second quantization for bosons / 3.1：
The harmonic oscillator / 3.2：
Quantum statistics at finite temperatures / 3.3：
Bogoliubov's theory of helium / 3.4：
Phonons in one dimension / 3.5：
Phonons in three dimensions / 3.6：
Acoustic and optical modes / 3.7：
Densities of states and the Debye model / 3.8：
Phonon interactions / 3.9：
Magnetic moments and spin / 3.10：
One-electron theory / 3.11：
Bloch electrons / 4.1：
Metals, insulators, and semiconductors / 4.2：
Nearly free electrons / 4.3：
Core states and the pseudopotential / 4.4：
Exact calculations, relativistic effects, and the structure factor / 4.5：
Dynamics of Bloch electrons / 4.6：
Scattering by impurities / 4.7：
Quasicrystals and glasses / 4.8：
Density functional theory / Chapter 5：
The Hohenberg--Kohn theorem / 5.1：
The Kohn--Sham formulation / 5.2：
The local density approximation / 5.3：
Electronic structure calculations / 5.4：
The Generalized Gradient Approximation / 5.5：
More acronyms: TDDFT, CDFT, and EDFT / 5.6：
Electron--phonon interactions / Chapter 6：
The Frohlich Hamiltonian / 6.1：
Phonon frequencies and the Kohn anomaly / 6.2：
The Peierls transition / 6.3：
Polarons and mass enhancement / 6.4：
The attractive interaction between electrons / 6.5：
The Nakajima Hamiltonian / 6.6：
Superconductivity / Chapter 7：
The superconducting state / 7.1：
The BCS Hamiltonian / 7.2：
The Bogoliubov--Valatin transformation / 7.3：
The ground-state wave function and the energy gap / 7.4：
The transition temperature / 7.5：
Ultrasonic attenuation / 7.6：
The Meissner effect / 7.7：
Tunneling experiments / 7.8：
Flux quantization and the Josephson effect / 7.9：
The Ginzburg--Landau equations / 7.10：
High-temperature superconductivity / 7.11：
Semiclassical theory of conductivity in metals / Chapter 8：
The Boltzmann equation / 8.1：
Calculating the conductivity of metals / 8.2：
Effects in magnetic fields / 8.3：
Inelastic scattering and the temperature dependence of resistivity / 8.4：
Thermal conductivity in metals / 8.5：
Thermoelectric effects / 8.6：
Mesoscopic physics / Chapter 9：
Conductance quantization in quantum point contacts / 9.1：
Multi-terminal devices: the Landauer--Buttiker formalism / 9.2：
Noise in two-terminal systems / 9.3：
Weak localization / 9.4：
Coulomb blockade / 9.5：
Quantized resistance and dissipationless transport / Chapter 10：
Two-dimensional electron gas and the integer quantum Hall effect / 10.2：
Edge states / 10.3：
The fractional quantum Hall effect / 10.4：
Quasiparticle excitations from the Laughlin state / 10.5：
Collective excitations above the Laughlin state / 10.6：
Spins / 10.7：
Composite fermions / 10.8：
The Kondo effect and heavy fermions / Chapter 11：
Metals and magnetic impurities / 11.1：
The resistance minimum and the Kondo effect / 11.2：
Low-temperature limit of the Kondo problem / 11.3：
Heavy fermions / 11.4：
Bibliography
Index
Preface
Semiclassical introduction / Chapter 1：
Elementary excitations / 1.1：
14.

図書
図書
14. Classical and quantum dynamics : from classical paths to path integrals. 3rd ed
Walter Dittrich, Martin Reuter
出版情報: Berlin : Springer-Verlag, c2001  x, 385 p. ; 24 cm
シリーズ名: Advanced texts in physics
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Introduction
The Action Principles in Mechanics / 1：
The Action Principle in Classical Electrodynamics / 2：
Application of the Action Principles / 3：
Jacobi Fields, Conjugate Points / 4：
Canonical Transformations / 5：
The Hamilton-Jacobi Equation / 6：
Action-Angle Variables / 7：
The Adiabatic Invariance of the Action Variables / 8：
Time-Independent Canonical Perturbation Theory / 9：
Canonical Perturbation Theory with Several Degrees of Freedom / 10：
Canonical Adiabatic Theory / 11：
Removal of Resonances / 12：
Superconvergent Perturbation Theory, KAM Theorem (Introduction) / 13：
Poincare Surface of Sections, Mappings / 14：
The KAM Theorem / 15：
Fundamental Principles of Quantum Mechanics / 16：
Functional Derivative Approach / 17：
Examples for Calculating Path Integrals / 18：
Direct Evaluation of Path Integrals / 19：
Linear Oscillator with Time-Dependent Frequency / 20：
Propagators for Particles in an External Magnetic Field / 21：
Simple Applications of Propagator Functions / 22：
The WKB Approximation / 23：
Computing the trace / 24：
Partition Function for the Harmonic Oscillator / 25：
Introduction to Homotopy Theory / 26：
Classical Chern-Simons Mechanics / 27：
Semiclassical Quantization / 28：
The "Maslov Anomaly" for the Harmonic Oscillator / 29：
Maslov Anomaly and the Morse Index Theorem / 30：
BerryÆs Phase / 31：
Classical Analogues to BerryÆs Phase / 32：
Berry Phase and Parametric Harmonic Oscillator / 33：
Topological Phases in Planar Electrodynamics / 34：
References
Index
Introduction
The Action Principles in Mechanics / 1：
The Action Principle in Classical Electrodynamics / 2：
15.

図書
図書
15. An Introduction to dirac operators on manifolds
Jan Cnops
出版情報: Boston : Birkhäuser, c2002  x, 211 p. ; 24 cm
シリーズ名: Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser ; v. 24
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Introduction
Clifford Algebras
Manifolds
Dirac Operators
Conformal Maps
Unique Continuation and the Cauchy Kernel
Boundary Values
Appendix
General Manifolds
The Additional Canterbury Tales
List of Symbols
Bibliography
Index
Introduction
Clifford Algebras
Manifolds
16.

図書
図書
16. Essential quantum mechanics (: pbk ; : hbk)
Gary E. Bowman
出版情報: Oxford : Oxford University Press, 2008  xi, 208 p. ; 24 cm
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Preface
Introduction: Three Worlds / 1：
Worlds 1 and 2 / 1.1：
World 3 / 1.2：
Problems / 1.3：
The Quantum Postulates / 2：
Postulate 1: The Quantum State / 2.1：
Postulate 2: Observables, Operators, and Eigenstates / 2.2：
Postulate 3: Quantum Superpositions / 2.3：
Discrete Eigenvalues / 2.3.1：
Continuous Eigenvalues / 2.3.2：
Closing Comments / 2.4：
What Is a Quantum State? / 2.5：
Probabilities, Averages, and Uncertainties / 3.1：
Probabilities / 3.1.1：
Averages / 3.1.2：
Uncertainties / 3.1.3：
The Statistical Interpretation / 3.2：
Bohr, Einstein, and Hidden Variables / 3.3：
Background / 3.3.1：
Fundamental Issues / 3.3.2：
Einstein Revisited / 3.3.3：
The Structure of Quantum States / 3.4：
Mathematical Preliminaries / 4.1：
Vector Spaces / 4.1.1：
Function Spaces / 4.1.2：
Dirac's Bra-ket Notation / 4.2：
Bras and Kets / 4.2.1：
Labeling States / 4.2.2：
The Scalar Product / 4.3：
Quantum Scalar Products / 4.3.1：
Discussion / 4.3.2：
Representations / 4.4：
Basics / 4.4.1：
Superpositions and Representations / 4.4.2：
Representational Freedom / 4.4.3：
Operators / 4.5：
Introductory Comments / 5.1：
Hermitian Operators / 5.2：
Adjoint Operators / 5.2.1：
Hermitian Operators: Definition and Properties / 5.2.2：
Wavefunctions and Hermitian Operators / 5.2.3：
Projection and Identity Operators / 5.3：
Projection Operators / 5.3.1：
The Identity Operator / 5.3.2：
Unitary Operators / 5.4：
Matrix Mechanics / 5.5：
Elementary Matrix Operations / 6.1：
Vectors and Scalar Products / 6.1.1：
Matrices and Matrix Multiplication / 6.1.2：
Vector Transformations / 6.1.3：
States as Vectors / 6.2：
Operators as Matrices / 6.3：
An Operator in Its Eigenbasis / 6.3.1：
Matrix Elements and Alternative Bases / 6.3.2：
Change of Basis / 6.3.3：
Adjoint, Hermitian, and Unitary Operators / 6.3.4：
Eigenvalue Equations / 6.4：
Commutators and Uncertainty Relations / 6.5：
The Commutator / 7.1：
Definition and Characteristics / 7.1.1：
Commutators in Matrix Mechanics / 7.1.2：
The Uncertainty Relations / 7.2：
Uncertainty Products / 7.2.1：
General Form of the Uncertainty Relations / 7.2.2：
Interpretations / 7.2.3：
Reflections / 7.2.4：
Angular Momentum / 7.3：
Angular Momentum in Classical Mechanics / 8.1：
Basics of Quantum Angular Momentum / 8.2：
Operators and Commutation Relations / 8.2.1：
Eigenstates and Eigenvalues / 8.2.2：
Raising and Lowering Operators / 8.2.3：
Physical Interpretation / 8.3：
Measurements / 8.3.1：
Relating L[superscript 2] and L[subscript z] / 8.3.2：
Orbital and Spin Angular Momentum / 8.4：
Orbital Angular Momentum / 8.4.1：
Spin Angular Momentum / 8.4.2：
Review / 8.5：
The Time-Independent Schrodinger Equation / 8.6：
An Eigenvalue Equation for Energy / 9.1：
Using the Schrodinger Equation / 9.2：
Conditions on Wavefunctions / 9.2.1：
An Example: the Infinite Potential Well / 9.2.2：
Interpretation / 9.3：
Energy Eigenstates in Position Space / 9.3.1：
Overall and Relative Phases / 9.3.2：
Potential Barriers and Tunneling / 9.4：
The Step Potential / 9.4.1：
The Step Potential and Scattering / 9.4.2：
Tunneling / 9.4.3：
What's Wrong with This Picture? / 9.5：
Why Is the State Complex? / 9.6：
Complex Numbers / 10.1：
Polar Form / 10.1.1：
Argand Diagrams and the Role of the Phase / 10.1.3：
The Phase in Quantum Mechanics / 10.2：
Phases and the Description of States / 10.2.1：
Phase Changes and Probabilities / 10.2.2：
Unitary Operators Revisited / 10.2.3：
Unitary Operators, Phases, and Probabilities / 10.2.4：
Example: A Spin 1/2 System / 10.2.5：
Wavefunctions / 10.3：
Time Evolution / 10.4：
The Time-Dependent Schrodinger Equation / 11.1：
How Time Evolution Works / 11.2：
Time Evolving a Quantum State / 11.2.1：
Unitarity and Phases Revisited / 11.2.2：
Expectation Values / 11.3：
Time Derivatives / 11.3.1：
Constants of the Motion / 11.3.2：
Energy-Time Uncertainty Relations / 11.4：
Conceptual Basis / 11.4.1：
Spin 1/2: An Example / 11.4.2：
What is a Wavefunction? / 11.5：
Eigenstates and Coefficients / 12.1.1：
Representations and Operators / 12.1.2：
Changing Representations / 12.2：
Change of Basis Revisited / 12.2.1：
From x to p and Back Again / 12.2.2：
Gaussians and Beyond / 12.2.3：
Phases and Time Evolution / 12.3：
Free Particle Evolution / 12.3.1：
Wavepackets / 12.3.2：
Bra-ket Notation / 12.4：
Quantum States / 12.4.1：
Eigenstates and Transformations / 12.4.2：
Epilogue / 12.5：
Mathematical Concepts / 12.6：
Complex Numbers and Functions / A.1：
Differentiation / A.2：
Integration / A.3：
Differential Equations / A.4：
Quantum Measurement / B：
The Harmonic Oscillator / C：
Energy Eigenstates and Eigenvalues / C.1：
The Number Operator and its Cousins / C.2：
Photons as Oscillators / C.3：
Unitary Transformations / D：
Finite Transformations and Generators / D.1：
Continuous Symmetries / D.3：
Symmetry Transformations / D.3.1：
Symmetries of Physical Law / D.3.2：
System Symmetries / D.3.3：
Bibliography
Index
Preface
Introduction: Three Worlds / 1：
Worlds 1 and 2 / 1.1：
17.

図書
図書
17. Quantum stochastic processes and noncommutative geometry (: hbk.)
Kalyan B. Sinha, Debashish Goswami
出版情報: Cambridge : Cambridge University Press, 2007  x, 290 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 169
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18.

図書
図書
18. Feynman-Kac formulae : genealogical and interacting particle systems with applications
Pierre Del Moral
出版情報: New York ; Tokyo : Springer, c2004  xviii, 555 p. ; 24 cm
シリーズ名: Probability and its applications
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19.

図書
図書
19. Fractional statistics and quantum theory. 2nd ed
Avinash Khare
出版情報: Singapore : World Scientific, c2005  xiii, 300 p. ; 23 cm
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20.

図書
図書
20. Quantum physics : illusion or reality?. 2nd ed (: pbk)
Alastair I.M. Rae
出版情報: Cambridge : Cambridge University Press, 2004  xiii, 155 p. ; 22 cm
シリーズ名: Canto
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21.

図書
図書
21. Modern canonical quantum general relativity (: pbk)
Thomas Thiemann
出版情報: Cambridge : Cambridge University Press, 2008  xxvi, 819 p. ; 25 cm
シリーズ名: Cambridge monographs on mathematical physics
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目次情報: 続きを見る
Preface
Notation and conventions
Introduction
Classical Foundations, Interpretation and the Canonical Quantisation Programme / Part I：
Classical Hamiltonian formulation of general relativity / 1：
The problem of time, locality and the interpretation of quantum mechanics / 2：
The programme of canonical quantisation / 3：
The new canonical variables of Ashtekar for general relativity / 4：
Foundations of Modern Canonical Quantum General Relativity / Part II：
Step I: the holonomy-flux algebra [P] / 5：
Step II: quantum-algebra / 7：
Step III: representation theory of [A] / 8：
Step IV / 9：
Implementation and solution of the kinematical constraints
Step V / 10：
Implementation and solution of the Hamiltonian constraint
Step VI: semiclassical analysis / 11：
Physical Applications / Part III：
Extension to standard matter / 12：
Kinematical geometrical operators / 13：
Spin foam models / 14：
Quantum black hole physics / 15：
Applications to particle physics and quantum cosmology / 16：
Loop quantum gravity phenomenology / 17：
Mathematical Tools and their Connection to Physics / Part IV：
Tools from general topology / 18：
Differential, Riemannian, symplectic and complex geometry / 19：
Semianalytical category / 20：
Elements of fibre bundle theory / 21：
Holonomies on non-trivial fibre bundles / 22：
Geometric quantisation / 23：
The Dirac algorithm for field theories with constraints / 24：
Tools from measure theory / 25：
Elementary introduction to Gel'fand theory for Abelean C* algebras / 26：
Bohr compactification of the real line / 27：
Operatir -algebras and spectral theorem / 28：
Refined algebraic quantisation (RAQ) and direct integral decomposition (DID) / 29：
Basics of harmonic analysis on compact Lie groups / 30：
Spin network functions for SU(2) / 31：
+ Functional analytical description of classical connection dynamics / 32：
Bibliography
Index
Preface
Notation and conventions
Introduction
22.

図書
図書
22. The large, the small and the human mind (pbk.)
Roger Penrose with Abner Shimony, Nancy Cartwright and Stephen Hawking ; edited by Malcolm Longair
出版情報: Cambridge : Cambridge University Press, 2000  xxii, 201 p. ; 22 cm
シリーズ名: Canto
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23.

図書
図書
23. Functional integration and quantum physics. 2nd ed
Barry Simon
出版情報: Providence, R.I. : AMS Chelsea Pub., American Mathematical Society, c2005  xi, 306 p. ; 26 cm
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目次情報: 続きを見る
Preface to Second Edition
Preface
List of Symbols
Introduction / I：
Construction of Gaussian Processes / 1：
Some Fundamental Tools of Probability Theory / 3：
The Basic Processes / II：
The Wiener Process, the Oscillator Process, and the Brownian Bridge / 4：
Regularity Properties-1 / 5：
The Feynman-Kac Formula / 6：
Regularity and Recurrence Properties-2 / 7：
Bound State Problems / III：
The Birman-Schwinger Kernel and Lieb's Formula / 8：
Phase Space Bounds / 9：
The Classical Limit / 10：
Recurrence and Weak Coupling / 11：
Inequalities / IV：
Correlation Inequalities / 12：
Other Inequalities: Log Concavity, Symmetric Rearrangement, Conditioning, Hypercontractivity / 13：
Magnetic Fields and Stochastic Integrals / V：
Ito's Integral / 14：
Schrodinger Operators with Magnetic Fields / 15：
Introduction to Stochastic Calculus / 16：
Asymptotics / VI：
Donsker's Theorem / 17：
Laplace's Method in Function Space / 18：
Introduction to the Donsker-Varadhan Theory / 19：
Other Topics / VII：
Perturbation Theory for the Ground State Energy / 20：
Dirichlet Boundaries and Decoupling Singularities in Scattering Theory / 21：
Crushed Ice and the Wiener Sausage / 22：
The Statistical Mechanics of Charged Particles with Positive Definite Interactions / 23：
An Introduction to Euclidean Quantum Field Theory / 24：
Properties of Eigenfunctions, Wave Packets, and Green's Functions / 25：
Inverse Problems and the Feynman-Kac Formula / 26：
References
Index
Bibliographic Supplement
Bibliography
Preface to Second Edition
Preface
List of Symbols
24.

図書
図書
24. Quantum phenomena in clusters and nanostructures
S.N. Khanna, A.W. Castleman, Jr. [(eds.)]
出版情報: Berlin : Springer, c2003  xii, 265 p. ; 24 cm
シリーズ名: Springer series in cluster physics
Physics and astronomy online library
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25.

図書
図書
25. Foundations of quantum physics. Special limited ed (1(1926-1932) ; 2(1933-1958))
edited by Jørgen Kalckar
出版情報: Amsterdam : Elsevier, 2008  2 v. ; 27 cm
シリーズ名: Collected works / Niels Bohr ; general editor, L. Rosenfeld ; v. 6-7
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26.

図書
図書
26. Lectures on quantum mechanics for mathematics students
L.D. Faddeev, O.A. Yakubovskiĭ ; translated by Harold McFaden
出版情報: [Providence, R.I.] : American Mathematical Society, c2009  xii, 234 p. ; 22 cm
シリーズ名: Student mathematical library ; v. 47
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目次情報: 続きを見る
The algebra of observables in classical mechanics
States Liouville's theorem, and two pictures of motion in classical mechanics
Physical bases of quantum mechanics
A finite-dimensional model of quantum mechanics
States in quantum mechanics
Heisenberg uncertainty relations
Physical meaning of the eigenvalues and eigenvectors of observables
Two pictures of motion in quantum mechanics.
The Schrodinger equation.
Stationary states Quantum mechanics of real systems.
The Heisenberg commutation relations
Coordinate and momentum representations
"Eigenfunctions" of the operators $Q$ and $P$
The energy, the angular momentum, and other examples of observables
The interconnection between quantum and classical mechanics.
Passage to the limit from quantum mechanics to classical mechanics
One-dimensional problems of quantum mechanics.
A free one-dimensional particle
The harmonic oscillator
The problem of the oscillator in the coordinate representation
Representation of the states of a one-dimensional particle in the sequence space $l_2$
Representation of the states for a one-dimensional particle in the space $\mathcal{D}$ of entire analytic functions
The general case of one-dimensional motion
Three-dimensional problems in quantum mechanics.
A three-dimensional free particle
A three-dimensional particle in a potential field
Angular momentum
The rotation group
Representations of the rotation group
Spherically symmetric operators
Representation of rotations by $2\times2$ unitary matrices
Representation of the rotation group on a space of entire analytic functions of two complex variables
Uniqueness of the representations $D_j$
Representations of the rotation group on the space $L^2(S^2)$.
Spherical functions
The radial Schrodinger equation
The hydrogen atom.
The alkali metal atoms Perturbation theory The variational principle Scattering theory.
Physical formulation of the problem
Scattering of a one-dimensional particle by a potential barrier
Physical meaning of the solutions $\psi_1$ and $\psi_2$
Scattering by a rectangular barrier
Scattering by a potential center
Motion of wave packets in a central force field
The integral equation of scattering theory
Derivation of a formula for the cross-section
Abstract scattering theory
Properties of commuting operators
Representation of the state space with respect to a complete set of observables
Spin Spin of a system of two electrons
Systems of many particles.
The identity principle Symmetry of the coordinate wave functions of a system of two electrons.
The helium atom Multi-electron atoms.
One-electron approximation The self-consistent field equations
Mendeleev's periodic system of the elements
Lagrangian formulation of classical mechanics
The algebra of observables in classical mechanics
States Liouville's theorem, and two pictures of motion in classical mechanics
Physical bases of quantum mechanics
27.

電子ブック
ＥＢ
27. Combinatorial physics : combinatorics, quantum field theory, and quantum gravity models (: electronic bk)
Adrian Tanasa
出版情報: [Oxford] : Oxford University Press, [20--]  1 online resource
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目次情報: 続きを見る
Introduction / 1：
Graphs, ribbon graphs, and polynomials / 2：
Graph theory: The Tutte polynomial / 2.1：
Ribbon graphs; the Bollobás-Riordan polynomial / 2.2：
Selected further reading / 2.3：
Quantum field theory (QFT)-built-in combinatorics / 3：
Definition of the scalar ¿4 model / 3.1：
Perturbative expansion-Feynman graphs and their combinatorial weights / 3.2：
Fourier transform-the momentum space / 3.3：
Parametric representation of Feynman integrands / 3.4：
The propagator and the heat kernel / 3.5：
A glimpse of perturbative renormalization / 3.6：
The power counting theorem / 3.6.1：
Locality / 3.6.2：
Multi-scale analysis / 3.6.3：
The subtraction operator for a general Feynman graph / 3.6.4：
Dimensional renormalization / 3.6.5：
Dyson-Schwinger equation / 3.7：
Combinatorial (or 0-dimensional) QFT and the intermediate field method / 3.8：
Combinatorial (or 0-dimensionai) QFT / 3.8.1：
The intermediate field method / 3.8.2：
Tree weights and renormalization in QFT / 3.9：
Preliminary results / 4.1：
Partition tree weights / 4.2：
Combinatorial QFT and the Jacobian Conjecture / 4.3：
The Jacobian Conjecture as combinatorial QFT model (the Abdesselam-Rivasseau model) / 5.1：
The intermediate field method for the Abdesselam-Rivasseau model / 5.2：
Fermionic QFT, Grassmann calculus, and combinatorics / 5.3：
Grassmann algebras and Grassmann calculus / 6.1：
The Grassmann algebra / 6.1.1：
Grassmann calculus; Pfaffians as Grassmann integrals / 6.1.2：
On Grassmann Gaussian measures / 6.2：
Lingström-Gessel-Viennot (LGV) formula for graphs with cycles / 6.3：
Stembridge's formulas for graphs with cycles / 6.4：
A generalization / 6.5：
Tutte polynomial and the parametric representation in QFT / 6.6：
Analytic combinatorics and QFT / 6.7：
The Mellin transform technique / 7.1：
The saddle point method / 7.2：
Algebraic combinatorics and QFT / 7.3：
Algebraic reminder; Combinatorial Hopf Algebras (CHAs) / 8.1：
The Connes-Kreimer Hopf algebra of Feynman graphs / 8.2：
The B+ operator, Hochschild cohomology of the Connes-Kreimer algebra / 8.3：
Multi-scale renormaiizarion, CHA description / 8.4：
QFT on the non-commutative Moyal space and combinatorics / 8.5：
Mathematical setting: Renormalizability / 9.1：
The Mehler kernel and the Grosse-Wulkenhaar model / 9.2：
Parametric representation of Grosse-Wulkenhaar-like models / 9.3：
The Mellin transform and the Grosse-Wulkenhaar model / 9.4：
Dimensional renormalization for the Grosse-Wulkenhaar model / 9.5：
A heat kernel-based renormalizable model / 9.6：
Parametric representation and the Bollobás-Riordan polynomial / 9.7：
Parametric representation / 9.7.1：
Relation between the multi-variate Bollobás-Riordan and the polynomials of the parametric representation / 9.7.2：
Combinatorial Connes-Kreimer Hopf algebra and its Hochschild cohomology / 9.8：
Combinatorial Connes-Kreimer Hopf algebra / 9.8.1：
Hochschild cohomology and the combinatorial DSE / 9.8.2：
Quantum gravity, group field theory (GFT), and combinatorics / 9.9：
Quantum gravity / 10.1：
Main candidates for a theory of quantum gravity: The holographic principle / 10.2：
GFT models: the Boulatov and the colourable models / 10.3：
The multi-orientable GFT model / 10.4：
Tadpoles and generalized tadpoles / 10.4.1：
Tadfaces / 10.4.2：
Saddle point method for GFT Feynman integrals / 10.5：
Algebraic combinatorics and tensorial GFT / 10.6：
The Ben Geloun-Rivasseau (BGR) model / 10.6.1：
Cones-Kreimer Hopf algebraic description of the combinatorics of the renormalizability of the BGR model / 10.6.2：
Hochschild cohomology and the combinatorial DSE for tensorial GFT / 10.6.3：
From random matrices to random tensors / 10.7：
The large N limit / 11.1：
The double-scaling limit / 11.2：
From matrices to tensors / 11.3：
Tensor graph polynomials-a generalization of the Bollobás-Riordan polynomial / 11.4：
Random tensor models-the U(N)D-invariant model / 11.5：
Definition of the model and its DSE / 12.1：
U(N)D-invariant bubble interactions / 12.1.1：
Bubble observables / 12.1.2：
The DSE for the model / 12.1.3：
Navigating the following sections of the chapter / 12.1.4：
The DSE beyond the large N limit / 12.2：
The LO / 12.2.1：
Moments and Cumulants / 12.2.2：
Gaussian and non-Gaussian contributions / 12.2.3：
The DSE at NLO / 12.2.4：
The order 1/ND in the quartic model / 12.2.5：
Double-scaling limit in the DSE / 12.3：
From the quartic model to a generic model / 12.3.2：
Random tensor models-the multi-orientable (MO) model / 12.4：
Definition of the model / 13.1：
The 1/N expansion and the large N limit / 13.2：
Feynman amplitudes; the 1/N expansion / 13.2.1：
The large N limit-the LO (melonic graphs) / 13.2.2：
The large TV limit-the NLO / 13.2.3：
Leading and NLO series / 13.2.4：
Combinatorial analysis of the general term of the large N expansion / 13.3：
Dipoles, chains, schemes, and all that / 13.3.1：
Generating functions, asymptotic enumeration, and dominant schemes / 13.3.2：
The two-point function / 13.4：
The four-point function / 13.4.2：
The 2r-point function / 13.4.3：
Random tensor models-the O(N)3-invariant model / 13.5：
General model and large N expansion / 14.1：
Quartic model, large N expansion / 14.2：
Large N expansion: LO / 14.2.1：
NLO / 14.2.2：
General quartic model: Critical behaviour / 14.3：
Explicit counting of melonic graphs / 14.3.1：
Diagrammatic equations, LO and NLO / 14.3.2：
Singularity analysis / 14.3.3：
Critical exponents / 14.3.4：
The Sachdev-Ye-Kitaev (SYK) holographic model / 14.4：
Definition of the SYK model: Its Feynman graphs / 15.1：
Diagrammatic proof of the large N melonic dominance / 15.2：
The coloured SYK model / 15.3：
Definition of the model, real, and complex versions / 15.3.1：
Diagrammatics of the real and complex model / 15.3.2：
More on the coloured SYK Feynman graphs / 15.3.3：
Non-Gaussian disorder average in the complex model / 15.3.4：
SYK-like tensor models / 15.4：
The Gurau-Witten model and its diagrammatics / 16.1：
Two-point functions: LO, NLO, and so on / 16.1.1：
Four-point function: LO, NLO, and so on / 16.1.2：
The O(N)3-invariant SYK-Uke tensor model / 16.2：
The MO SYK-like tensor model / 16.3：
Relating MO graphs to O(N)3-invariant graphs / 16.4：
Diagrammatic techniques for O(N)3-invariant graphs / 16.5：
Two-edge-cuts / 16.5.1：
Dipole removals / 16.5.2：
Dipole insertions / 16.5.3：
Chains of dipoles / 16.5.4：
Face length / 16.5.5：
The strategy / 16.5.6：
Degree 1 graphs of the O(N)3-invariant SYK-like tensor model / 16.6：
2PI, dipole-free graph of degree one / 16.6.1：
The graphs of degree 1 / 16.6.2：
Degree 3/2 graphs of the O(N)3-invariant SYK-like tensor model / 16.7：
Examples of tree weights / A：
Symmetric weights-complete partition / A.1：
One singleton partition-rooted graph / A.2：
Two singleton partition-multi-rooted graph / A.3：
Renormalization of the Grosse-Wulkenhaar model, one-loop examples / B：
The B+ operator in Moyal QFT, two-loop examples / C：
One-loop analysis / C.1：
Two-loop analysis / C.2：
Explicit examples of GFT tensor Feynman integral computations / D：
A non-colourable, MO tensor graph integral / D.1：
A colourable, multi-orientable tensor graph integral / D.2：
A non-colourable, non-multi-orientable tensor graph integral / D.3：
Coherent states of SU(2) / E：
Proof of the double-scaling limit of the U(N)D-invariant tensor model / F：
Proof of Theorem 15.3.2 / G：
Bijection with constellations / G.1：
Bijection in the bipartite case / G.1.1：
The non-bipartite case / G.1.2：
Enumeration of coloured graphs of fixed order / G.2：
Exact enumeration / G.2.1：
The connectivity condition and SYK graphs / G.2.2：
Preliminary conditions / G.3.1：
The case q > 3 / G.3.2：
The case q = 3 / G.3.3：
Proof of Theorem 16.1.1 / G.3.4：
Summary of results on the diagrammatics of the coloured SYK model and of the Gurau-Witten model / I：
Bibliography
Index
Introduction / 1：
Graphs, ribbon graphs, and polynomials / 2：
Graph theory: The Tutte polynomial / 2.1：
28.

電子ブック
ＥＢ
28. Quantum theory : an information processing approach (: electronic bk)
Jochen Rau
出版情報: [Oxford] : Oxford University Press, [20--]  1 online resource
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29.

図書
図書
29. Elements of quantum mechanics
Michael D. Fayer
出版情報: New York : Oxford University Press, 2001  xi, 320 p. ; 25 cm
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30.

図書
図書
30. Quantum paradoxes : quantum theory for the perplexed
Yakir Aharonov and Daniel Rohrlich
出版情報: Weinheim : Wiley-VCH, c2005  x, 289 p. ; 25 cm
シリーズ名: Physics textbook
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31.

電子ブック
ＥＢ
31. Quantum physics in one dimension ((ebook) :)
Thierry Giamarchi
出版情報: Oxford : Clarendon, 2004  1 online resource (xvi, 424 p.)
シリーズ名: The international series of monographs on physics ; 121
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32.

電子ブック
ＥＢ
32. The quantum theory of atoms in molecules : : from solid state to DNA and drug design (: electronic bk)
edited by Chérif F. Matta and Russell J. Boyd
出版情報: Weinheim : [Chichester] : Wiley-VCH ; [John Wiley [distributor], 〓2007  1 online resource (xxxviii, 527 pages)
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目次情報: 続きを見る
Foreword
Preface
List of Abbreviations
Appearing in this Volume
List of Contributors
An Introduction to the Quantum Theory of Atoms in Molecules / ChA?rif F. Matta ; Russell J. Boyd1：
Introduction / 1.1：
The Topology of the Electron Density / 1.2：
The Topology of the Electron Density Dictates the Form of Atoms in Molecules / 1.3：
The Bond and Virial Paths, and the Molecular and Virial Graphs / 1.4：
The Atomic Partitioning of Molecular Properties / 1.5：
The Nodal Surface in the Laplacian as the Reactive Surface of a Molecule / 1.6：
Bond Properties / 1.7：
Atomic Properties / 1.8：
"Practical" Uses and Utility of QTAIM Bond and Atomic Properties / 1.9：
Steps of a Typical QTAIM Calculation / 1.10：
References
Advances in Theory / Part 1：
The Lagrangian Approach to Chemistry / Richard F. W. Bader2：
The Lagrangian Approach / 2.1：
The Action Principle in Quantum Mechanics / 2.3：
From Schr??dinger to Schwinger / 2.4：
Molecular Structure and Structural Stability / 2.5：
Reections and the Future / 2.6：
Atomic Response Properties / Todd A. Keith3：
Apparent Origin-dependence of Some Atomic Response Properties / 3.1：
Bond Contributions to "Null" Molecular Properties / 3.3：
Bond Contributions to Atomic Charges in Neutral Molecules / 3.4：
Atomic Contributions to Electric Dipole Moments of Neutral Molecules / 3.5：
Atomic Contributions to Electric Polarizabilities / 3.6：
Atomic Contributions to Vibrational Infrared Absorption Intensities / 3.7：
Atomic Nuclear Virial Energies / 3.8：
Atomic Contributions to Induced Electronic Magnetic Dipole Moments / 3.9：
Atomic Contributions to Magnetizabilities of Closed-Shell Molecules / 3.10：
QTAIM Analysis of Raman Scattering Intensities: Insights into the Relationship Between Molecular Structure and Electronic Charge Flow / Kathleen M. Gough ; Richard Dawes ; Jason R. Dwyer ; Tammy L. Welshman4：
Background to the Problem / 4.1：
Methodology / 4.3：
Speci.c Examples of the Use of AIM2000 Software to Analyze Raman Intensities / 4.4：
Patterns in I? That Are Discovered Through QTAIM / 4.5：
Patterns in qa/qr CH That Apply Across Di.erent Structures, Conformations, Molecular Types: What is Transferable? / 4.6：
What Can We Deduce From Simple Inspection of delta;alpha;/delta;r CH and delta;alpha;/delta;r CC From Gaussian? / 4.7：
Conclusion / 4.8：
Topological Atom-Atom Partitioning of Molecular Exchange Energy and its Multipolar Convergence / Michel Rafat ; Paul L. A. Popelier5：
Theoretical Background / 5.1：
Details of Calculations / 5.3：
Results and Discussion / 5.4：
The ELF Topological Analysis Contribution to Conceptual Chemistry and Phenomenological Models / Bernard Silvi ; Ronald J. Gillespie5.5：
Why ELF and What is ELF? / 6.1：
Concepts from the ELF Topology / 6.3：
VSEPR Electron Domains and the Volume of E / 6.4：
Foreword
Preface
List of Abbreviations
33.

電子ブック
ＥＢ
33. Crafting the quantum : Arnold Sommerfeld and the practice of theory, 1890-1926 (: electronic bk)
Suman Seth
出版情報: [Ann Arbor, Mich.] : ProQuest Ebook Central, [20--]  1 online resource (viii, 378 p.)
シリーズ名: Transformations : studies in the history of science and technology
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Acknowledgments
Introduction
The Physics of Problems / I：
Elements of the Sommerfeld Style, 1890-1910
Pedagogical Economies / 2：
The "Sommerfeld School" and the Problems of Teaching
The Kaiser's Physicists / 3：
The Sommerfeld School Goes to War
The Practice of Principles / II：
Planck, Experiment, and the "Thermodynamic Method"
The Dynamical and the Statistical / 5：
Sommerfeld, Planck, and the Quantum Hypothesis
Prinzipienfuchser and Virtuosen / III：
Theoretical Physics after World War I
Crafting the Quantum / 7：
Sommerfeld, Bohr, and the Older Quantum Theory
Conclusion
Notes
Bibliography
Index
Acknowledgments
Introduction
The Physics of Problems / I：
34.

図書
図書
34. Quantum theory : a very short introduction
John Polkinghorne
出版情報: Oxford ; Tokyo : Oxford University Press, 2002  113 p. ; 18 cm
シリーズ名: Very short introductions ; 69
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Preface
List of illustrations
Classical cracks / 1：
The light dawns / 2：
Darkening perplexities / 3：
Further developments / 4：
Togetherness / 5：
Lessons and meanings / 6：
Further reading
Glossary
Mathematical appendix
Index
Preface
List of illustrations
Classical cracks / 1：
35.

図書
図書
35. Applied quantum mechanics. 2nd ed
A.F.J. Levi
出版情報: Cambridge, UK : Cambridge University Press, 2006  xvi, 558 p. ; 26 cm
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Preface to the first edition
Preface to the second edition
MATLAB programs
Introduction / 1：
Motivation / 1.1：
Classical mechanics / 1.2：
The one-dimensional simple harmonic oscillator / 1.2.1：
Harmonic oscillation of a diatomic molecule / 1.2.3：
The monatomic linear chain / 1.2.4：
The diatomic linear chain / 1.2.5：
Classical electromagnetism / 1.3：
Electrostatics / 1.3.1：
Electrodynamics / 1.3.2：
Example exercises / 1.4：
Problems / 1.5：
Toward quantum mechanics / 2：
Diffraction and interference of light / 2.1：
Black-body radiation and evidence for quantization of light / 2.1.2：
Photoelectric effect and the photon particle / 2.1.3：
Secure quantum communication / 2.1.4：
The link between quantization of photons and other particles / 2.1.5：
Diffraction and interference of electrons / 2.1.6：
When is a particle a wave? / 2.1.7：
The Schrodinger wave equation / 2.2：
The wave function description of an electron in free space / 2.2.1：
The electron wave packet and dispersion / 2.2.2：
The hydrogen atom / 2.2.3：
Periodic table of elements / 2.2.4：
Crystal structure / 2.2.5：
Electronic properties of bulk semiconductors and heterostructures / 2.2.6：
Using the Schrodinger wave equation / 2.3：
The effect of discontinuity in the wave function and its slope / 3.1：
Wave function normalization and completeness / 3.2：
Inversion symmetry in the potential / 3.3：
One-dimensional rectangular potential well with infinite barrier energy / 3.3.1：
Numerical solution of the Schrodinger equation / 3.4：
Current flow / 3.5：
Current in a rectangular potential well with infinite barrier energy / 3.5.1：
Current flow due to a traveling wave / 3.5.2：
Degeneracy as a consequence of symmetry / 3.6：
Bound states in three dimensions and degeneracy of eigenvalues / 3.6.1：
Symmetric finite-barrier potential / 3.7：
Calculation of bound states in a symmetric finite-barrier potential / 3.7.1：
Transmission and reflection of unbound states / 3.8：
Scattering from a potential step when m[subscript 1] = m[subscript 2] / 3.8.1：
Scattering from a potential step when m[subscript 1] [not equal] m[subscript 2] / 3.8.2：
Probability current density for scattering at a step / 3.8.3：
Impedance matching for unity transmission across a potential step / 3.8.4：
Particle tunneling / 3.9：
Electron tunneling limit to reduction in size of CMOS transistors / 3.9.1：
The nonequilibrium electron transistor / 3.10：
Electron propagation / 3.11：
The propagation matrix method / 4.1：
Program to calculate transmission probability / 4.3：
Time-reversal symmetry / 4.4：
Current conservation and the propagation matrix / 4.5：
The rectangular potential barrier / 4.6：
Transmission probability for a rectangular potential barrier / 4.6.1：
Transmission as a function of energy / 4.6.2：
Transmission resonances / 4.6.3：
Resonant tunneling / 4.7：
Heterostructure bipolar transistor with resonant tunnel-barrier / 4.7.1：
Resonant tunneling between two quantum wells / 4.7.2：
The potential barrier in the delta function limit / 4.8：
Energy bands in a periodic potential / 4.9：
Bloch's Theorem / 4.9.1：
The propagation matrix applied to a periodic potential / 4.9.2：
The tight binding approximation / 4.9.3：
Crystal momentum and effective electron mass / 4.9.4：
Other engineering applications / 4.10：
The WKB approximation / 4.11：
Tunneling through a high-energy barrier of finite width / 4.11.1：
Eigenstates and operators / 4.12：
The postulates of quantum mechanics / 5.1：
One-particle wave function space / 5.2：
Properties of linear operators / 5.3：
Product of operators / 5.3.1：
Properties of Hermitian operators / 5.3.2：
Normalization of eigenfunctions / 5.3.3：
Completeness of eigenfunctions / 5.3.4：
Commutator algebra / 5.3.5：
Dirac notation / 5.4：
Measurement of real numbers / 5.5：
Expectation value of an operator / 5.5.1：
Time dependence of expectation value / 5.5.2：
Uncertainty of expectation value / 5.5.3：
The generalized uncertainty relation / 5.5.4：
The no cloning theorem / 5.6：
Density of states / 5.7：
Density of electron states / 5.7.1：
Calculating density of states from a dispersion relation / 5.7.2：
Density of photon states / 5.7.3：
The harmonic oscillator / 5.8：
The harmonic oscillator potential / 6.1：
Creation and annihilation operators / 6.2：
The ground state of the harmonic oscillator / 6.2.1：
Excited states of the harmonic oscillator and normalization of eigenstates / 6.2.2：
The harmonic oscillator wave functions / 6.3：
The classical turning point of the harmonic oscillator / 6.3.1：
Time dependence / 6.4：
The superposition operator / 6.4.1：
Measurement of a superposition state / 6.4.2：
Time dependence of creation and annihilation operators / 6.4.3：
Quantization of electromagnetic fields / 6.5：
Laser light / 6.5.1：
Quantization of an electrical resonator / 6.5.2：
Quantization of lattice vibrations / 6.6：
Quantization of mechanical vibrations / 6.7：
Fermions and bosons / 6.8：
The symmetry of indistinguishable particles / 7.1：
Fermi-Dirac distribution and chemical potential / 7.2：
Writing a computer program to calculate the chemical potential / 7.2.1：
Writing a computer program to plot the Fermi-Dirac distribution / 7.2.2：
Fermi-Dirac distribution function and thermal equilibrium statistics / 7.2.3：
The Bose-Einstein distribution function / 7.3：
Time-dependent perturbation / 7.4：
An abrupt change in potential / 8.1：
Time-dependent change in potential / 8.1.2：
First-order time-dependent perturbation / 8.2：
Charged particle in a harmonic potential / 8.2.1：
Fermi's golden rule / 8.3：
Elastic scattering from ionized impurities / 8.4：
The coulomb potential / 8.4.1：
Linear screening of the coulomb potential / 8.4.2：
Photon emission due to electronic transitions / 8.5：
Density of optical modes in three-dimensions / 8.5.1：
Light intensity / 8.5.2：
Background photon energy density at thermal equilibrium / 8.5.3：
Fermi's golden rule for stimulated optical transitions / 8.5.4：
The Einstein A and B coefficients / 8.5.5：
The semiconductor laser / 8.6：
Spontaneous and stimulated emission / 9.1：
Absorption and its relation to spontaneous emission / 9.2.1：
Optical transitions using Fermi's golden rule / 9.3：
Optical gain in the presence of electron scattering / 9.3.1：
Designing a laser diode / 9.4：
The optical cavity / 9.4.1：
Mirror loss and photon lifetime / 9.4.2：
The Fabry-Perot laser diode / 9.4.3：
Semiconductor laser diode rate equations / 9.4.4：
Numerical method of solving rate equations / 9.5：
The Runge-Kutta method / 9.5.1：
Large-signal transient response / 9.5.2：
Cavity formation / 9.5.3：
Noise in laser diode light emission / 9.6：
Why our model works / 9.7：
Time-independent perturbation / 9.8：
Time-independent nondegenerate perturbation / 10.1：
The first-order correction / 10.2.1：
The second-order correction / 10.2.2：
Harmonic oscillator subject to perturbing potential in x / 10.2.3：
Harmonic oscillator subject to perturbing potential in x[superscript 2] / 10.2.4：
Harmonic oscillator subject to perturbing potential in x[superscript 3] / 10.2.5：
Time-independent degenerate perturbation / 10.3：
A two-fold degeneracy split by time-independent perturbation / 10.3.1：
Matrix method / 10.3.2：
The two-dimensional harmonic oscillator subject to perturbation in xy / 10.3.3：
Perturbation of two-dimensional potential with infinite barrier energy / 10.3.4：
Angular momentum and the hydrogenic atom / 10.4：
Angular momentum / 11.1：
Classical angular momentum / 11.1.1：
The angular momentum operator / 11.2：
Eigenvalues of angular momentum operators L[subscript z] and L[superscript 2] / 11.2.1：
Geometrical representation / 11.2.2：
Spherical coordinates and spherical harmonics / 11.2.3：
The rigid rotator / 11.2.4：
Eigenstates and eigenvalues of the hydrogen atom / 11.3：
Hydrogenic atom wave functions / 11.3.2：
Electromagnetic radiation / 11.3.3：
Fine structure of the hydrogen atom and electron spin / 11.3.4：
Hybridization / 11.4：
Physical values / 11.5：
Coordinates, trigonometry, and mensuration / Appendix B：
Expansions, differentiation, integrals, and mathematical relations / Appendix C：
Matrices and determinants / Appendix D：
Vector calculus and Maxwell's equations / Appendix E：
The Greek alphabet / Appendix F：
Index
Preface to the first edition
Preface to the second edition
MATLAB programs
36.

図書
図書
36. Group theory and quantum mechanics (: pbk)
Michael Tinkham and Gordon McKay
出版情報: Mineola, N.Y. : Dover Publications, 2003  xii, 340 p. ; 22 cm
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Preface
Introduction / 1：
The Nature of the Problem / 1-1：
The Role of Symmetry / 1-2：
Abstract Group Theory / 2：
Definitions and Nomenclature / 2-1：
Illustrative Examples / 2-2：
Rearrangement Theorem / 2-3：
Cyclic Groups / 2-4：
Subgroups and Cosets / 2-5：
Example Groups of Finite Order / 2-6：
Conjugate Elements and Class Structure / 2-7：
Normal Divisors and Factor Groups / 2-8：
Class Multiplication / 2-9：
Exercises
References
Theory of Group Representations / 3：
Definitions / 3-1：
Proof of the Orthogonality Theorem / 3-2：
The Character of a Representation / 3-3：
Construction of Character Tables / 3-4：
Decomposition of Reducible Representations / 3-5：
Application of Representation Theory in Quantum Mechanics / 3-6：
Illustrative Representations of Abelian Groups / 3-7：
Basis Functions for Irreducible Representations / 3-8：
Direct-product Groups / 3-9：
Direct-product Representations within a Group / 3-10：
Physical Applications of Group Theory / 4：
Crystal-symmetry Operators / 4-1：
The Crystallographic Point Groups / 4-2：
Irreducible Representations of the Point Groups / 4-3：
Elementary Representations of the Three-dimensional Rotation Group / 4-4：
Crystal-field Splitting of Atomic Energy Levels / 4-5：
Intermediate Crystal-field-splitting Case / 4-6：
Weak-crystal-field Case and Crystal Double Groups / 4-7：
Introduction of Spin Effects in the Medium-field Case / 4-8：
Group-theoretical Matrix-element Theorems / 4-9：
Selection Rules and Parity / 4-10：
Directed Valence / 4-11：
Application of Group Theory to Directed Valence / 4-12：
Full Rotation Group and Angular Momentum / 5：
Rotational Transformation Properties and Angular Momentum / 5-1：
Continuous Groups / 5-2：
Representation of Rotations through Eulerian Angles / 5-3：
Homomorphism with the Unitary Group / 5-4：
Representations of the Unitary Group / 5-5：
Representation of the Rotation Group by Representations of the Unitary Group / 5-6：
Application of the Rotation-representation Matrices / 5-7：
Vector Model for Addition of Angular Momenta / 5-8：
The Wigner or Clebsch-Gordan Coefficients / 5-9：
Notation, Tabulations, and Symmetry Properties of the Wigner Coefficients / 5-10：
Tensor Operators / 5-11：
The Wigner-Eckart Theorem / 5-12：
The Racah Coefficients / 5-13：
Application of Racah Coefficients / 5-14：
The Rotation-Inversion Group / 5-15：
Time-reversal Symmetry / 5-16：
More General Invariances / 5-17：
Quantum Mechanics of Atoms / 6：
Review of Elementary Atomic Structure and Nomenclature / 6-1：
The Hamiltonian / 6-2：
Approximate Eigenfunctions / 6-3：
Calculation of Matrix Elements between Determinantal Wavefunctions / 6-4：
Hartree-Fock Method / 6-5：
Calculation of L-S-term Energies / 6-6：
Evaluation of Matrix Elements of the Energy / 6-7：
Eigenfunctions and Angular-momentum Operations / 6-8：
Calculation of Fine Structure / 6-9：
Zeeman Effect / 6-10：
Magnetic Hyperfine Structure / 6-11：
Electric Hyperfine Structure / 6-12：
Molecular Quantum Mechanics / 7：
Born-Oppenheimer Approximation / 7-1：
Simple Electronic Eigenfunctions / 7-2：
Irreducible Representations for Linear Molecules / 7-3：
The Hydrogen Molecule / 7-4：
Molecular Orbitals / 7-5：
Heitler-London Method / 7-6：
Orthogonal Atomic Orbitals / 7-7：
Group Theory and Molecular Orbitals / 7-8：
Selection Rules for Electronic Transitions / 7-9：
Vibration of Diatomic Molecules / 7-10：
Normal Modes in Polyatomic Molecules / 7-11：
Group Theory and Normal Modes / 7-12：
Selection Rules for Vibrational Transitions / 7-13：
Molecular Rotation / 7-14：
Effect of Nuclear Statistics on Molecular Rotation / 7-15：
Asymmetric Rotor / 7-16：
Vibration-Rotation Interaction / 7-17：
Rotation-Electronic Coupling / 7-18：
Solid-state Theory / 8：
Symmetry Properties in Solids / 8-1：
The Reciprocal Lattice and Brillouin Zones / 8-2：
Form of Energy-band Wavefunctions / 8-3：
Crystal Symmetry and the Group of the k Vector / 8-4：
Pictorial Consideration of Eigenfunctions / 8-5：
Formal Consideration of Degeneracy and Compatibility / 8-6：
Group Theory and the Plane-wave Approximation / 8-7：
Connection between Tight- and Loose-binding Approximations / 8-8：
Spin-orbit Coupling in Band Theory / 8-9：
Time Reversal in Band Theory / 8-10：
Magnetic Crystal Groups / 8-11：
Symmetries of Magnetic Structures / 8-12：
The Landau Theory of Second-order Phase Transitions / 8-13：
Irreducible Representations of Magnetic Groups / 8-14：
Appendix
Review of Vectors, Vector Spaces, and Matrices / A：
Character Tables for Point-symmetry Groups / B：
Tables of c[superscript k] and a[superscript k] Coefficients for s, p, and d Electrons / C：
Index
Preface
Introduction / 1：
The Nature of the Problem / 1-1：
37.

図書
図書
37. Quantum mechanics : a new introduction (: hbk ; : pbk)
Kenichi Konishi and Giampiero Paffuti
出版情報: Oxford : Oxford University Press, 2009  xix, 778 p. ; 25 cm.
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Basic Quantum Mechanics / Part 1：
Introduction / 1：
Quantum mechanical laws / 2：
The Schroedinger equation / 3：
Angular momentum / 4：
Symmetry and statistics / 5：
Three-dimensional problems / 6：
Finer points of quantum mechanics / 7：
Path-integrals / 8：
Approximation Methods / Part 2：
Perturbation Theory / 9：
Variational Methods / 10：
Semi-classical approximation / 11：
Applications / Part 3：
Time Evolution / 12：
Meta-stable states / 13：
Electromagnetic interactions / 14：
Atoms / 15：
Elastic scattering theory / 16：
From atomic nuclei to elementary particles / 17：
Entanglement and Measurement / Part 4：
Quantum entanglement / 18：
Probability and measurement / 19：
Complements / Part 5：
Complements for Part 1 / 20：
Complements for Part 2 / 21：
Complements for Part 3 / 22：
Complements for Part 4 / 23：
Mathematical / 24：
Appendices and Tables
Basic Quantum Mechanics / Part 1：
Introduction / 1：
Quantum mechanical laws / 2：
38.

図書
図書
38. Quantum mechanics : concepts and applications. 2nd ed (: hbk ; : pbk)
Nouredine Zettili
出版情報: Chichester, West Sussex, U.K. : Wiley, c2009  xvi, 671 p. ; 25 cm
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Preface
Origins of Quantum Physics / 1：
Historical Note / 1.1：
Particle Aspect of Radiation / 1.2：
Wave Aspect of Particles / 1.3：
Particles versus Waves / 1.4：
Indeterministic Nature of the Microphysical World / 1.5：
Atomic Transitions and Spectroscopy / 1.6：
Quantization Rules / 1.7：
Wave Packets / 1.8：
Concluding Remarks / 1.9：
Solved Problems / 1.10：
Exercises
Mathematical Tools of Quantum Mechanics / 2：
Introduction / 2.1：
The Hilbert Space and Wave Functions / 2.2：
Dirac Notation / 2.3：
Operators / 2.4：
Representation in Discrete Bases / 2.5：
Representation in Continuous Bases / 2.6：
Matrix and Wave Mechanics / 2.7：
Postulates of Quantum Mechanics / 2.8：
The Basic Postulates of Quantum Mechanics / 3.1：
The State of a System / 3.3：
Observables and Operators / 3.4：
Measurement in Quantum Mechanics / 3.5：
Time Evolution of the System's State / 3.6：
Symmetries and Conservation Laws / 3.7：
Connecting Quantum to Classical Mechanics / 3.8：
One-Dimensional Problems / 3.9：
Properties of One-Dimensional Motion / 4.1：
The Free Particle: Continuous States / 4.3：
The Potential Step / 4.4：
The Potential Barrier and Well / 4.5：
The Infinite Square Well Potential / 4.6：
The Finite Square Well Potential / 4.7：
The Harmonic Oscillator / 4.8：
Numerical Solution of the Schr_dinger Equation / 4.9：
Angular Momentum / 4.10：
Orbital Angular Momentum / 5.1：
General Formalism of Angular Momentum / 5.3：
Matrix Representation of Angular Momentum / 5.4：
Geometrical Representation of Angular Momentum / 5.5：
Spin Angular Momentum / 5.6：
Eigen functions of Orbital Angular Momentum / 5.7：
Three-Dimensional Problems / 5.8：
3D Problems in Cartesian Coordinates / 6.1：
3D Problems in Spherical Coordinates / 6.3：
Rotations and Addition of Angular Momenta / 6.4：
Rotations in Classical Physics / 7.1：
Rotations in Quantum Mechanics / 7.2：
Addition of Angular Momenta / 7.3：
Scalar, Vector and Tensor Operators / 7.4：
Identical Particles / 7.5：
Many-Particle Systems / 8.1：
Systems of Identical Particles / 8.2：
The Pauli Exclusion Principle / 8.3：
The Exclusion Principle and the Periodic Table / 8.4：
Approximation Methods for Stationary States / 8.5：
Time-Independent Perturbation Theory / 9.1：
The Variational Method / 9.3：
The Wentzel "Kramers" Brillou in Method / 9.4：
Time-Dependent Perturbation Theory / 9.5：
The Pictures of Quantum Mechanics / 10.1：
Adiabatic and Sudden Approximations / 10.3：
Interaction of Atoms with Radiation / 10.5：
Scattering Theory / 10.6：
Scattering and Cross Section / 11.1：
Scattering Amplitude of Spinless Particles / 11.2：
The Born Approximation / 11.3：
Partial Wave Analysis / 11.4：
Scattering of Identical Particles / 11.5：
The Delta Function / 11.6：
One-Dimensional Delta Function / A.1：
Three-Dimensional Delta Function / A.2：
Angular Momentum in Spherical Coordinates / B：
Derivation of Some General / B.1：
Gradient and Laplacianin Spherical Coo / B.2：
Preface
Origins of Quantum Physics / 1：
Historical Note / 1.1：
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