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Classical and quantum dynamics : from classical paths to path integrals /

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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,...

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Bibliographic Details
Main Author: Dittrich, Walter
Corporate Author: SpringerLink (Online service)
Other Authors: Reuter, Martin, 1958-
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [2001]
Edition:3rd ed.
Series:Advanced texts in physics.
Subjects:
Quantum theory.
Nonlinear theories.
Hamiltonian systems.
Path integrals.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • From the contents: 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
  • PoincarĂ© 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.