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008 160412m20011992ii ||||b |||| 001 0 eng d
020 _a35404206655 (alk. paper)
020 _a3540562451
020 _a9788132202530
040 _aDLC
_cDLC
_dBD-SySUS
082 0 0 _a530.12
_222
_bDIC
100 1 _aDittrich, Walter.
_915221
245 1 0 _aClassical and quantum dynamics :
_bfrom classical paths to path integrals /
_cWalter Dittrich, Martin Reuter.
250 _a3rd ed.
260 _aNew dehi :
_bSpringer,
_cc2001.
300 _ax, 385 p. ;
_c24 cm.
440 0 _aAdvanced texts in physics,
_x1439-2674
_915222
500 _aOriginally published: Classical and quantum dynamics. 2nd corr. and enl. ed. Berlin ; New York : Springer-Verlag, c1994.
504 _aIncludes bibliographical references (p. [381]-382) and index.
505 8 _aMachine 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.
650 0 _aQuantum theory.
_912376
650 0 _aNonlinear theories.
_915223
650 0 _aHamiltonian systems.
_915224
650 0 _aPath integrals.
_915225
700 1 _aReuter, Martin,
_d1958-
_915226
942 _2ddc
_cBK
999 _c43009
_d43009