Titre :	Classical and quantum dynamics from classical paths to path integrals T.3
Type de document :	texte imprimé
Auteurs :	DITTRICH,Walter ; REUTER,Martin
Editeur :	Berlin : Springer
Année de publication :	2001
Importance :	1 vol. (385 p.)
Format :	24 cm
ISBN/ISSN/EAN :	978-3-540-42066-8
Catégories :	Physique
Mots-clés :	Théorie quantique Théories non linéaires Systèmes hamiltoniens Intégrales de chemin
Index. décimale :	530.12 Mécanique quantique
Note de contenu :	1. Introduction The Action Principles in Mechanics The Action Principle in Classical Electrodynamics 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 with Several Degrees of Freedom Canonical Adiabatic Theory Removal of Resonances Superconvergent Perturbation Theory, KAM Theorem (Introduction) Poincaré Surface of Sections, Mappings The KAM Theorem Fundamental Principles of Quantum Mechanics Functional Derivative Approach 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 Computing the Trace 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

Classical and quantum dynamics from classical paths to path integrals T.3 [texte imprimé] / DITTRICH,Walter ; REUTER,Martin . - Berlin : Springer, 2001 . - 1 vol. (385 p.) ; 24 cm.
ISBN : 978-3-540-42066-8

Catégories :	Physique
Mots-clés :	Théorie quantique Théories non linéaires Systèmes hamiltoniens Intégrales de chemin
Index. décimale :	530.12 Mécanique quantique
Note de contenu :	1. Introduction The Action Principles in Mechanics The Action Principle in Classical Electrodynamics 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 with Several Degrees of Freedom Canonical Adiabatic Theory Removal of Resonances Superconvergent Perturbation Theory, KAM Theorem (Introduction) Poincaré Surface of Sections, Mappings The KAM Theorem Fundamental Principles of Quantum Mechanics Functional Derivative Approach 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 Computing the Trace 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