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1.

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
2.

図書

図書
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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3.

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:
4.

図書

図書
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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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
5.

図書

図書
Avinash Khare
出版情報: Singapore : World Scientific, c2005  xiii, 300 p. ; 23 cm
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6.

図書

図書
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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7.

図書

図書
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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8.

図書

図書
Richard P. Feynman, Albert R. Hibbs ; emended by Daniel F. Styer
出版情報: Mineola, N.Y. : Dover Publications, 2010  xii, 371 p. ; 24 cm
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Preface
Preface to Emended Edition
The Fundamental Concepts of Quantum Mechanics / Chapter 1:
Probability in quantum mechanics / 1-1:
The uncertainty principle / 1-2:
Interfering alternatives / 1-3:
Summary of probability concepts / 1-4:
Some remaining thoughts / 1-5:
The purpose of this book / 1-6:
The Quantum-mechanical Law of Motion / Chapter 2:
The classical action / 2-1:
The quantum-mechanical amplitude / 2-2:
The classical limit / 2-3:
The sum over paths / 2-4:
Events occurring in succession / 2-5:
Some remarks / 2-6:
Developing the Concepts with Special Examples / Chapter 3:
The free particle / 3-1:
Diffraction through a slit / 3-2:
Results for a sharp-edged slit / 3-3:
The wave function / 3-4:
Gaussian integrals / 3-5:
Motion in a potential field / 3-6:
Systems with many variables / 3-7:
Separable systems / 3-8:
The path integral as a functional / 3-9:
Interaction of a particle and a harmonic oscillator / 3-10:
Evaluation of path integrals by Fourier series / 3-11:
The Schrödinger Description of Quantum Mechanics / Chapter 4:
The Schrödinger equation / 4-1:
The time-independent hamiltonian / 4-2:
Normalizing the free-particle wave functions / 4-3:
Measurements and Operators / Chapter 5:
The momentum representation / 5-1:
Measurement of quantum-mechanical variables / 5-2:
Operators / 5-3:
The Perturbation Method in Quantum Mechanics / Chapter 6:
The perturbation expansion / 6-1:
An integral equation for KV / 6-2:
An expansion for the wave function / 6-3:
The scattering of an electron by an atom / 6-4:
Time-dependent perturbations and transition amplitudes / 6-5:
Transition Elements / Chapter 7:
Definition of the transition element / 7-1:
Functional derivatives / 7-2:
Transition elements of some special functionals / 7-3:
General results for quadratic actions / 7-4:
Transition elements and the operator notation / 7-5:
The perturbation series for a vector potential / 7-6:
The hamiltonian / 7-7:
Harmonic Oscillators / Chapter 8:
The simple harmonic oscillator / 8-1:
The polyatomic molecule / 8-2:
Normal coordinates / 8-3:
The one-dimensional crystal / 8-4:
The approximation of continuity / 8-5:
Quantum mechanics of a line of atoms / 8-6:
The three-dimensional crystal / 8-7:
Quantum field theory / 8-8:
The forced harmonic oscillator / 8-9:
Quantum Electrodynamics / Chapter 9:
Classical electrodynamics / 9-1:
The quantum mechanics of the rediation field / 9-2:
The ground state / 9-3:
Interaction of field and matter / 9-4:
A single electron in a radiative field / 9-5:
The Lamb shift / 9-6:
The emission of light / 9-7:
Summary / 9-8:
Statistical Mechanics / Chapter 10:
The partition function / 10-1:
The path integral evaluation / 10-2:
Quantum-mechanical effects / 10-3:
Systems of several variables / 10-4:
Remarks on methods of derivation / 10-5:
The Variational Method / Chapter 11:
A minimum principle / 11-1:
An application of the variational method / 11-2:
The standard variational principle / 11-3:
Slow electrons in a polar crystal / 11-4:
Other Problems in Probability / Chapter 12:
Random pulses / 12-1:
Characteristic functions / 12-2:
Noise / 12-3:
Gaussian noise / 12-4:
Noise spectrum / 12-5:
Brownian motion / 12-6:
Quantum mechanics / 12-7:
Influence functionals / 12-8:
Influence functional from a harmonic oscillator / 12-9:
Conclusions / 12-10:
Appendix: Some Useful Definite Integrals
Appendix: Notes
Index
Preface
Preface to Emended Edition
The Fundamental Concepts of Quantum Mechanics / Chapter 1:
9.

図書

図書
A.K. Chandra, A. Das, B.K. Chakrabarti (eds.)
出版情報: Berlin : Springer, c2010  xi, 307 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 802
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10.

図書

図書
B.S. Chandrasekhar
出版情報: Cambridge ; New York : Cambridge University Press, 1998  x, 254 p. ; 26 cm
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Preface
Introduction / 1:
Crystals / 2:
Particles and waves / 3:
The atom / 4:
Statistical physics / 5:
The quantum mechanical crystal / 6:
Copper wires and glass rods / 7:
Silver spoons and plastic spoons / 8:
Glass panes and aluminium foils / 9:
Electric bulbs and insulated cables / 10:
Magnets / 11:
Superconductors / 12:
Conclusion / 13:
Glossary
Preface
Introduction / 1:
Crystals / 2:
11.

図書

図書
Walter E. Thirring ; with foreword by Elliott H. Lieb
出版情報: Providence, R.I. : American Mathematical Society, c1998  xiii, 729 p. ; 26 cm
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12.

図書

図書
George W. Mackey
出版情報: New York : W.A. Benjamin , Torino : Editore Boringhieri, 1968  viii, 167 p. ; 23 cm
シリーズ名: Pubblicazioni della Classe di scienze / Scuola Normale Superiore
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13.

図書

図書
Isabelle Catto, Claude Le Bris, Pierre-Louis Lions
出版情報: Oxford ; New York : Clarendon Press, 1998  xiii, 277 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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Preface
General Presentation / 1:
Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential / 2:
Convergence of the energy for the Thomas-Fermi-von-Weizsacker model / 3:
Convergence of the density for the Thomas-Fermi-von-Weizsacker model with Yukawa potential / 4:
Convergence of the density for the Thomas-Fermi-von-Weizsacker model / 5:
Convergence of the energy via the convergence of the density / 6:
Bibliography
Preface
General Presentation / 1:
Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential / 2:
14.

図書

図書
Atsushi Inoue
出版情報: Berlin ; New York : Springer, c1998  viii, 241 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1699
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15.

図書

図書
Ian Percival
出版情報: New York : Cambridge University Press, 1998  xi, 184 p. ; 25 cm
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Introduction / 1:
Brownian motion and It( calculus / 2:
Open quantum systems / 3:
Quantum state diffusion / 4:
Localisation / 5:
Numerical methods and examples / 6:
Quantum foundations / 7:
Primary state diffusion / 8:
Classical dynamics of quantum localisation / 9:
Semiclassical theory and linear dynamics / 10:
Introduction / 1:
Brownian motion and It( calculus / 2:
Open quantum systems / 3:
16.

図書

図書
by Irene Verona Schensted
出版情報: Peaks Island, Me. : NEO Press, c1976  vii, 342 p. ; 24 cm
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17.

図書

図書
edited by M.P. Nightingale and C.J. Umrigar
出版情報: Dordrecht : Kluwer Academic, c1999  viii, 467 p. ; 25 cm
シリーズ名: NATO science series ; Ser. C . Mathematical and physical sciences ; v. 525
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18.

図書

図書
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:
19.

図書

図書
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:
20.

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図書
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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図書
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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by William Bender
出版情報: Minneapolis : Burgess Pub., c1958  ix, 340 p. ; 29 cm
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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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А.Ф. Никифоров, В.Б. Уваров, Ю.Л. Левитан
出版情報: Москва : Вычислительный центр АН СССР, 1962  319 p. ; 27 cm
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by Zbigniew Haba
出版情報: Dordrecht : Kluwer Academic Publishers, c1999  xx, 364 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 480
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Franz Schwabl ; translated by Roginald Hilton and Angela Lahee
出版情報: Berlin ; New York : Springer, c1999  xv, 405 p. ; 25 cm
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目次情報:
Nonrelativistic multi-particle-systems
Relativistic wave equations
Relativistic fields
Nonrelativistic multi-particle-systems
Relativistic wave equations
Relativistic fields
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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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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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Richard P. Feynman and Steven Weinberg
出版情報: Cambridge : Cambridge University Press, c1999  x, 110 p. ; 19 cm
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目次情報:
Foreword / John C. Taylor
The reason for antiparticles / Richard P. Feynman1:
Towards the final laws of physics / Steven Weinberg2:
Foreword / John C. Taylor
The reason for antiparticles / Richard P. Feynman1:
Towards the final laws of physics / Steven Weinberg2:
30.

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図書
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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George F. Koster ... [et al.]
出版情報: Cambridge, Mass. : M.I.T. Press, 1963  104 p. ; 24 cm
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東工大
目次DB

図書
東工大
目次DB
Takaaki Tsurumi ... [et al.]
出版情報: Boca Raton [Fla.] : CRC Press, c2010  xii, 267 p., [8] p. of plates ; 25 cm
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目次情報: 続きを見る
Preface vii
Acknowledgments ix
Authors xi
Chapter 1 Fundamentals of quantum mechanics and band structure 1
   1.1 Fundamentals of quantum mechanics 1
    1.1.1 Probability amplitude and interference effects 1
    1.1.2 Uncertainty principle 5
    1.1.3 Wave functions 7
    1.1.4 Operators 8
    1.1.5 Eigenvalue and expected value 10
    1.1.6 Expansion theorem 10
    1.1.7 Schroedinger equation 11
    1.1.8 Principle of superposition 13
    1.1.9 Examples of solutions of the Schroedinger equation 14
     1.1.9.1 Electron in a one-dimensional (1D) box 14
     1.1.9.2 Harmonic oscillator 15
     1.1.9.3 Hydrogen atom 16
    1.1.10 Matrix mechanics and bra-ket (Dirac) notation 18
    1.1.11 Comparison of the Heisenberg and Schroedinger approaches to quantum mechanics 20
    1.1.12 Perturbation theory 22
   1.2 Electronic band structure of solids 27
    1.2.1 Free electron Fermi gas 27
    1.2.2 Nearly free electron model (DOS) 31
    1.2.3 Bloch function 33
    1.2.4 Kroenig-Penny model 33
    1.2.5 Tight binding model 35
    1.2.6 Phase velocity, group velocity, and effective mass 37
    1.2.7 Reciprocal lattice and the Brillouin zone 40
    1.2.8 Energy band structure of silicon (Si) 44
    1.2.9 Tight binding approximation for calculating the band structure of graphene 45
    1.2.10 Electron correlation 51
     1.2.10.1 Hartree-Fock approximation 51
     1.2.10.2 Density functional method 54
   1.3 Material properties with respect to characteristic size in nanostructures 56
   Problems 60
   References 60
Chapter 2 Electronic states and electrical properties of nanoscale materials 63
   2.1 Outline 63
   2.2 Low dimensionality and energy spectrum 64
    2.2.1 Space for electrons in materials 64
    2.2.2 Electron DOS of 3D materials with macroscopic dimensions 65
    2.2.3 Electron DOS in 2D materials (nanosheets) 67
    2.2.4 Electron DOS in lD materials (nanowires) 72
    2.2.5 Quantized conductance in 1D nanowire systems 74
    2.2.6 Electron DOS in 0D materials (nanodots) 77
   2.3 Quantization 79
    2.3.1 2D square wells 80
    2.3.2 2D cylindrical wells 83
    2.3.3 Shape effect on the quantized states 85
    2.3.4 Finite potential wells 87
    2.3.5 Band dispersion effect 93
   2.4 Edge (surface)-localized states 96
   2.5 Charging effect 100
   2.6 Tunneling phenomena 103
   2.7 Limiting factors for size effects 111
    2.7.1 Thermal fluctuation 111
    2.7.2 Lifetime broadening effect 113
   2.8 Electronically induced stable nanostructures 115
    2.8.1 Magic numbers in clusters 116
    2.8.2 Electronic growth 119
   Problems 122
   References 123
Chapter 3 Optical properties and interactions of nanoscale materials 125
   3.1 Size-dependent optical properties: Absorption and emission 125
    3.1.1 Basic quantum mechanics of linear optical transitions 126
    3.1.2 General concept of excitons 133
    3.1.3 Wannier excitons 135
    3.1.4 Size effects in high-dielectric-constant materials 136
    3.1.5 Size effects in π-conjugated systems 140
    3.1.6 Strongly interacting π-conjugated systems: A molecular dimer 144
    3.1.7 Molecular Frenkel exciton 149
    3.1.8 Size effects in molecular excitons: Coherence length and cooperative phenomena 153
    3.1.9 Effects of finite number of optical electrons 157
   3.2 Size-dependent optical properties: Absorption and scattering 158
    3.2.1 Basic theory of light scattering 160
    3.2.2 Size-dependent scattering from dielectric spheres: Mie solutions 164
    3.2.3 Optical properties of metal nanoparticles: Plasmonics 169
    3.2.4 Local field enhancement and surface-enhanced Raman scattering 176
   3.3 Size-dependent electromagnetic interactions: Particle-particle 179
    3.3.1 Radiative energy transfer 179
    3.3.2 Foerster resonant energy transfer (FRET) 180
    3.3.3 Electron-exchange (Dexter) energy transfer 187
    3.3.4 Photo-induced electron transfer 190
   3.4 Size-dependent interactions: Particle-light interactions in finite geometries 191
    3.4.1 Optical interactions in microcavities 191
    3.4.2 Effects of dielectric interfaces 198
   Problems 201
   References 204
Chapter 4 Magnetic and magnetotransport properties of nanoscale materials 207
   4.1 Fundamentals of magnetism 207
    4.1.1 Magnetic ions and magnetic ordering 207
    4.1.2 Exchange interaction 208
    4.1.3 Mean field theory of ferromagnetism 211
   4.2 Size and surface effects in 3D confined systems 213
    4.2.1 Quantization of electronic structures and the Kubo effect 214
    4.2.2 Surface magnetism of transition noble metals 220
   4.3 Ferromagnetic domain-wall-related phenomena 229
    4.3.1 Macroscopic quantum tunneling in magnetic nanostructures 229
    4.3.2 Electron scattering at domain walls: Quantum coherence 233
    4.3.3 Spin current and spin transfer torque-current-induced domain wall motion 235
   4.4 Spin transport in magnetic nanostructures: Magnetic interface effect 240
    4.4.1 GMR and TMR effect: Spin-dependent scattering in multilayers and tunneling junctions 240
    4.4.2 Spin accumulation and current-perpendicular-to-plane (CPP) GMR: Spin diffusion length 245
    4.4.3 Spin Hall effect: Side jump and skew scattering due to spin-orbit coupling 249
   Problems 253
   References 253
Index 257
Preface vii
Acknowledgments ix
Authors xi
33.

図書

図書
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
34.

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図書
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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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
35.

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図書
Ian G. Moss
出版情報: Chichester : John Wiley, c1996  xii, 162 p. ; 24 cm
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36.

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図書
C. Grosche
出版情報: Singapore : World Scientific, c1996  xi, 280 p. ; 23 cm
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37.

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図書
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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38.

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
39.

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図書
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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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
41.

図書

図書
by G.N. Afanasiev
出版情報: Dordrecht ; Boston : Kluwer Academic Publishers, c1999  xii, 339 p. ; 25 cm
シリーズ名: Fundamental theories of physics ; v. 107
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42.

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図書
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:
43.

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図書
edited by Claudio Chamon ... [et al.]
出版情報: Oxford : Oxford University Press, 2017  xxxi, 671 p. ; 26 cm
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Dae Mann Kim
出版情報: Weinheim : Wiley-VCH, c2010  xv, 447 p. ; 25 cm
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Brief Review of Classical Theories
Harmonic Oscillator
Boltzmann Transport Equation
Maxwell's Equations
Milestone Discoveries and Old Quantum Theory
Blackbody Radiation and Quantum of Energy
Specific Heat of Solids
Photoelectric Effects
Compton Scattering
Duality of Matter
Bohr?s H-Atom Theory
Schrodinger Equation and Operator Algebra
Schrodinger Equation
Momentum Eigenfunction and Fourier Series
Hermitian Operator and Bra Ket Notations
Orthgonality and Completeness of Eigenfunctions
Basic Postulates of Quantum Mechanics
Commutation Relations
Conjugate Variables and Uncertainty Relation
Operator Equation of Motion and Ehrenfest Theorem
Particle in Potential Well
Infinite Square Well Potential
Particle in 3-D Box
Density of States: 1-D, 2-D and 3-D
Particle in Quantum Well
Particle in Delta Function Potential Well
Quantum Well and Wire
Scattering of a Particle at 1-D Potentials
Scattering at Step Potential
Scattering at Quantum Well
Tunneling and Its Applications
Tunneling across Square Potential Barrier
Fowler-Nordheim and Direct Tunneling
Resonant Tunneling
The Applications of Tunneling
Periodic Potentials and Energy Bands
1-D Crystal and Kronig-Penny Model
E-k Dispersion and Energy Bands
Energy Bands and Resonant Tunneling
The Harmonic Oscillator
Energy Eigenequation
The Properties of Energy Eigenfunction
The Operator Treatment
The Angular Momentum
Angualr Momentum Operators
Eigenfunctions and Spherical Harmonics
The Hydrogen Atom: The Schrodinger Treatment
Two-Body Central Force Problem
The Hydrogen Atom
The Atomic Orbital
Virial Theorm and Doppler Shift
System of Identical Particles and Many-Electron Atoms
Two Electron System
Two Spin 1/2 System
The Helium Atom
The Periodic Table and the Structure of Atoms
Molecules and Chemical Bonds
The Ionized Hydrogen Molecule
The Hydrogen Molecule
Ionic Bond and Van der Waals Attraction
The Perturbation Theory
Time Independent Perturbation in Non-Degenerate Systems
Time Dependent Perturbation Theory
Atom - Field Interaction
Field Quantization
Atom -
Field Interaction
Driven, Damped Two Level Atom
Interaction Between Em Waves and Optical Media
Attenuation and Dispersion of Waves
Density Matrix and Ensemble Averaging
Laser Devices
Quantum Statistics
General Background and Three Kinds of Particles
Statistics for Distinguishable particles
Statistics for Fermions and Fermi Distribution Function
Statistics for Boson and Bose Einstein Distribution
Semiconductor Statistics
Carrier Densities in Intrinsic Semiconductors
Carrier Densities in Extrinsic Semiconductors
Fermi Level in Extrinsic Semiconductors
Charge Transport in Semiconductors
Drift and Diffusion Currents
Transport Coefficients
Equilibrium and Non-Equilibrium
Recombination and Generation Currents
P-N Junction Diode
The Junction Interface in Equilibrium
The Junction Interface Under Bias
The Diode I-V
Applications of P-N Junction Diodes
The Bipolar Junction Transistor: Device Physics and Technology
Bipolar Junction Transistor: Overview
The Physics of Transistor Action
Ebers Moll Equations
Base Transit Time and Charge Control Model
Metal Oxide Silicon Field Effect Transistors (Mosfet) I: Overview of Device Behavior and Applications
MOSFET: Overview
Charge Control and Metal-Oxide-Silicon System
NMOS I-V
Applications of MOSFET
Metal Oxide Silicon Field Effect Transistors (Mosfet) Ii: Device Scaling and Schottky Contact
Device Scaling: Physical issues and Limitations
Metal - Semiconductor Contacts
The I-V Behavior in Metal - Semiconductor Contacts
Brief Review of Classical Theories
Harmonic Oscillator
Boltzmann Transport Equation
45.

図書

図書
V.P. Maslov and M.V. Fedoriuk ; translated from the Russian by J. Niederle and J. Tolar
出版情報: Dordrecht, Holland ; Boston : D. Reidel Pub. Co. : sold and distributed in the U.S.A. and Canada by Kluwer Boston Inc., c1981  ix, 301 p. ; 23 cm
シリーズ名: Mathematical physics and applied mathematics ; v. 7
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図書
John C. Slater
出版情報: New York ; Tokyo : McGraw-Hill, c1974  xvii, 583 p. ; 24 cm
シリーズ名: International series in pure and applied physics ; . Quantum theory of molecules and solids ; v. 4
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47.

図書

図書
by Erhard Scheibe ; translated by J.B. Sykes
出版情報: Oxford ; New York : Pergamon Press, c1973  viii, 204 p. ; 26 cm
シリーズ名: International series of monographs in natural philosophy ; v.56
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48.

図書

図書
Siegfried Flügge
出版情報: Berlin ; New York : Springer-Verlag, 1971  2 v. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 177-178
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49.

図書

図書
H. Haken, H.C. Wolf ; translated by W.D. Brewer
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  xvi, 454 p. ; 25 cm
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50.

図書

図書
edited by George T. Rado, Harry Suhl
出版情報: New York : Academic Press, 1963  xv, 623 p. ; 24 cm
シリーズ名: Magnetism / edited by George T. Rado, Harry Suhl ; v. 3
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