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1.

図書

図書
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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2.

図書

図書
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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3.

図書

図書
Moray B. King
出版情報: Kempton, Ill. : Adventures Unlimited Press, c2002  iii, 173 p. ; 22 cm
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4.

図書

図書
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
5.

図書

図書
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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6.

図書

図書
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:
7.

図書

図書
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
8.

図書

図書
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
9.

図書

図書
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:
10.

図書

図書
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
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