Classical and Quantum Dynamics
from Classical Paths to Path Integrals
2nd Edition
Published on 3. June 1996
Book
Paperback/Softback
IX, 361 pages
978-3-540-56245-0 (ISBN)
Description
Graduate students wishing to become familiar with advanced computational strategies in classical and quantum dynamics will find in the one source both the fundamentals of a standard course as well as a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, illustrated by many worked examples throughout the text. This second edition has been enlarged with a new chapter on topological phases in planar electrodynamics, and a discussion of the Aharonov-Bohm effect.
More details
Edition
Softcover reprint of the original 2nd ed. 1994
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Edition type
Revised edition
Product notice
Paperback (trade)
Illustrations
black & white illustrations
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Thickness: 19 mm
Weight
561 gr
ISBN-13
978-3-540-56245-0 (9783540562450)
DOI
10.1007/978-3-642-97465-6
Schweitzer Classification
Other editions
New editions
Walter Dittrich | Martin Reuter
Classical and Quantum Dynamics
From Classical Paths to Path Integrals
Book
02/2020
6th Edition
Springer
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Walter Dittrich | Martin Reuter
Classical and Quantum Dynamics
From Classical Paths to Path Integrals
Book
06/2001
3rd Edition
Springer
€80.20
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Additional editions
Walter Dittrich | Martin Reuter
Classical and Quantum Dynamics
from Classical Paths to Path Integrals
E-Book
12/2012
2nd Edition
Springer
€82.38
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Previous edition
Walter Dittrich | Martin Reuter
Classical and Quantum Dynamics
from Classical Paths to Path Integrals
Book
04/1992
Springer
€85.55
Article exhausted; check for reprint
Content
1. The Action Principles in Mechanics.- 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. Poincaré Surface of Sections, Mappings.- 14. The KAM Theorem.- 15. Fundamental Principles of Quantum Mechanics.- 16. Examples for Calculating Path Integrals.- 17. Direct Evaluation of Path Integrals.- 18. Linear Oscillator with Time-Dependent Frequency.- 19. Propagators for Particles in an External Magnetic Field.- 20. Simple Applications of Propagator Functions.- 21. The WKB Approximation.- 22. Partition Function for the Harmonic Oscillator.- 23. Introduction to Homotopy Theory.- 24. Classical Chern-Simons Mechanics.- 25. Semiclassical Quantization.- 26. The "Maslov Anomaly" for the Harmonic Oscillator.- 27. Maslov Anomaly and the Morse Index Theorem.- 28. Berry's Phase.- 29. Classical Analogues to Berry's Phase.- 30. Berry Phase and Parametric Harmonic Oscillator.- 31. Topological Phases in Planar Electrodynamics.- References.