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1.

図書

図書
Hiller, Johnston, Styer著 ; Ehrlich, MacDonald, Dworzecka編 ; 青山智夫訳
出版情報: 東京 : 海文堂出版, 1996.12  iii, 232p ; 26cm
シリーズ名: CUPSシリーズ ; 7
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2.

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:
3.

図書

図書
R. P. ファインマン, A. R. ヒッブス [著] ; D. スタイヤー校訂 ; 北原和夫訳
出版情報: 東京 : みすず書房, 2017.3  x, 373p ; 22cm
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目次情報: 続きを見る
量子力学の基本概念
量子力学の運動法則
特別な例によって概念を展開する
量子力学のSchr : ̈odinger表示
観測と演算子
量子力学における摂動論
遷移要素
調和振動子
量子電気力学
統計力学
変分法
確率論における諸問題
量子力学の基本概念
量子力学の運動法則
特別な例によって概念を展開する
概要: 経路積分の概念を用いて量子力学の諸法則が記述され、シュレーディンガー方程式表示とのつながりが提示される。そのうえで、摂動論、統計力学、量子電気力学、変分原理などの諸領域が多くの具体例とともに扱われる。そこには、さまざまな系における経路積分の 可能性を探るファインマンの苦闘の痕が刻まれており、読者は非凡なセンスをもった物理学者の洞察、きらめくアイデアに触れることができる。また、ここにはファインマンが経路積分法に託していた大きな構想も、声高にではないがはっきりと提示されている。 続きを見る
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