Quantum mechanics and path integrals

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Quantum mechanics and path integrals / Richard P. Feynman, Albert R. Hibbs ; emended by Daniel F. Styer

版:

Emended ed

資料種別:

図書

出版情報:

Mineola, N.Y. : Dover Publications, 2010

形態:

xii, 371 p. ; 24 cm

著者名:

ISBN:

9780486477220 [0486477223]

書誌ID:

BB03299263

子書誌情報

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所蔵情報

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書誌詳細

注記:

Originally published: Emended ed. New York : McGraw-Hill, 2005
Includes bibliographical references and index

主題:

Quantum theory

言語:

英語

目次情報:

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 SchrÃ¶dinger Description of Quantum Mechanics / Chapter 4：

The SchrÃ¶dinger 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：

Probability in quantum mechanics / 1-1：

The uncertainty principle / 1-2：

Interfering alternatives / 1-3：

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