Titre : |
Classical and quantum dynamics : from classical paths to path integrals |
Type de document : |
texte imprimé |
Auteurs : |
Reuter, Martin, Auteur ; Dittrich, Walter, Auteur |
Mention d'édition : |
3 éd |
Editeur : |
Berlin ; London ; Cham : Springer |
Année de publication : |
2001 |
Importance : |
X-385 p. |
Format : |
25 cm |
ISBN/ISSN/EAN : |
978-3-540-42066-8 |
Note générale : |
Bibliogr. Index |
Langues : |
Anglais (eng) |
Mots-clés : |
Théorie quantique
Théories non linéaires
Systèmes hamiltoniens
Intégrales de chemin |
Index. décimale : |
530.145 Théorie quantique |
Résumé : |
Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, together with many worked examples throughout the text.
This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces. |
Note de contenu : |
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-Independant 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
Fo,damental Principles of Quantum Mechanics
Functional Derivative Approach
... |
Classical and quantum dynamics : from classical paths to path integrals [texte imprimé] / Reuter, Martin, Auteur ; Dittrich, Walter, Auteur . - 3 éd . - Berlin ; London ; Cham : Springer, 2001 . - X-385 p. ; 25 cm. ISBN : 978-3-540-42066-8 Bibliogr. Index Langues : Anglais ( eng)
Mots-clés : |
Théorie quantique
Théories non linéaires
Systèmes hamiltoniens
Intégrales de chemin |
Index. décimale : |
530.145 Théorie quantique |
Résumé : |
Graduate students who want to become familiar with advanced computational strategies in classical and quantum dynamics will find here both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, together with many worked examples throughout the text.
This new edition has been revised and enlarged with chapters on the action principle in classical electrodynamics, on the functional derivative approach, and on computing traces. |
Note de contenu : |
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-Independant 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
Fo,damental Principles of Quantum Mechanics
Functional Derivative Approach
... |
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