Dittrich (W.) and Reuter (M.) - ...

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‎Dittrich (W.) and Reuter (M.)‎

‎Classical and Quantum Mechanics from Classical Paths to Paths Integrals (second corrected and enlarged edition)‎

‎Springer-Verlag - Springer Ferce sur Sarthe, France 1994 Book Condition, Etat : Très Bon paperback grand In-8 1 vol. - 368 pages‎

‎ Contents, Chapitres : Preface, Contents, vii, Text, 361 pages - The action principles in mechanics - Application of the action principles - Jacobi fields, conjugate points - Canonical transformations- The Hamilton-Jacobi equation - Action-angle variables - The adiabatic invariance of the action variables - Time-independent canonical perturbation theory - Canonical perturbation theory wityh several degrees of freedom - Canonical adiabatic theory - Removal of resonances - Superconvergent perturbation theory, KAM theorem - Poincaré surfaces of sections, mappings - The KAM theorem - Fundamental principles of Quantum mechanics - Examples for calculating path integrals - Direct evaluation of path integrals - Linear oscillator with time-dependent frequency - Propagators for particles in an external magnetic field - Simple applications of propagator functions - The WKB approximation - Partition function for the harmonic oscillator - Introduction to Homotopy theory - Classical Chern-Simons mechanics - Semiclassical quantization - The Maslov anomaly for the harmonic oscillator - Maslov anomaly and the Morse Index theorem - Berry's phase - Classical analogues to Berry's phase Berry phase and parametric harmonic oscillator - Topological phases in planar electrodynamics fine copy‎