Classical and quantum dynamics : from classical paths to path integrals

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Classical and quantum dynamics : from classical paths to path integrals / Walter Dittrich, Martin Reuter

版:

3rd ed

資料種別:

図書

出版情報:

Berlin : Springer-Verlag, c2001

形態:

x, 385 p. ; 24 cm

シリーズ名:

Advanced texts in physics <BA44414285>

著者名:

ISBN:

9783540420668 [3540420665]

書誌ID:

BA53190815

子書誌情報

フルテキスト

所蔵情報

他の版・巻

Classical and quantum dynamics : from classical paths to path integrals (: gw ; : us)
W. Dittrich, M. Reuter , Springer-Verlag , c1992

書誌詳細

注記:

Orginally published: Classical and quatum dynamics. 2nd corr. and enl. ed. Berlin ; New York : Springer-Verlag, c1994
Includes bibliographical references and index

主題:

Hamiltonian systems; Nonlinear theories; Path integrals; Quantum theory

言語:

英語

目次情報:

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：

BerryÃ†s Phase / 31：

Classical Analogues to BerryÃ†s 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：

Application of the Action Principles / 3：

Jacobi Fields, Conjugate Points / 4：

Canonical Transformations / 5：

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