Mendeley出力
＜図書＞
Classical and quantum dynamics : from classical paths to path integrals
| 責任表示 | Walter Dittrich, Martin Reuter |
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| シリーズ | Advanced texts in physics |
| データ種別 | 図書 |
| 版 | 3rd ed |
| 出版情報 | Berlin : Springer-Verlag , c2001 |
| 本文言語 | 英語 |
| 大きさ | x, 385 p. ; 24 cm |
| 概要 | Physics students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here a detailed treatment many worked examples. This new edition has be...n revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces. 続きを見る |
| 目次 | Machine generated contents note: Introduction 1. The Action Principles in Mechanics 2. The Action Principle in Classical Electrodynamics 3. Application of the Action Principles 4. Jacobi Fields, Conjugate Points 5. Canonical Transformations 6. The Hamilton-Jacobi Equation 7. Action-Angle Variables 8. The Adiabatic Invariance of the Action Variables 9. Time-Independent Canonical Perturbation Theory 10. Canonical Perturbation Theory with Several Degrees of Freedom 11. Canonical Adiabatic Theory 12. Removal of Resonances 13. Superconvergent Perturbation Theory, KAM Theorem (Introduction) 14. Poincare Surface of Sections, Mappings 15. The KAM Theorem 16. Fundamental Principles of Quantum Mechanics 17. Functional Derivative Approach 18. Examples for Calculating Path Integrals 19. Direct Evaluation of Path Integrals 20. Linear Oscillator with Time-Dependent Frequency 21. Propagators for Particles in an External Magnetic Field 22. Simple Applications of Propagator Functions 23. The WKB Approximation 24. Computing the trace 25. Partition Function for the Harmonic Oscillator 26. Introduction to Homotopy Theory 27. Classical Chem-Simons Mechanics 28. Semiclassical Quantization 29. The "Maslov Anomaly" for the Harmonic Oscillator 30. Maslov Anomaly and the Morse Index Theorem 31. Berry's Phase 32. Classical Analogues to Berry's Phase 33. Berry Phase and Parametric Harmonic Oscillator 34. Topological Phases in Planar Electrodynamics References Index.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6872240 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | DITT/10/1 | 2001 |
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023212001003968 |
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書誌詳細
| 一般注記 | Orginally published: Classical and quatum dynamics. 2nd corr. and enl. ed. Berlin ; New York : Springer-Verlag, c1994 Includes bibliographical references and index |
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| 著者標目 | *Dittrich, Walter, 1935- Reuter, Martin, 1958- |
| 件 名 | LCSH:Quantum theory LCSH:Nonlinear theories LCSH:Hamiltonian systems LCSH:Path integrals |
| 分 類 | LCC:QC174.12 DC21:530.12 |
| 書誌ID | 1001401003 |
| ISBN | 3540420665 |
| NCID | BA53190815 |
| 巻冊次 | ISBN:3540420665 |
| 登録日 | 2009.11.02 |
| 更新日 | 2017.02.18 |