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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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目次情報: 続きを見る
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
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
4.

図書

図書
Avinash Khare
出版情報: Singapore : World Scientific, c2005  xiii, 300 p. ; 23 cm
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5.

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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6.

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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7.

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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目次情報: 続きを見る
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:
8.

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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9.

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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目次情報: 続きを見る
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:
10.

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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