Classical and Quantum Dynamics
From Classical Paths to Path Integrals
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Beschreibung
Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book 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, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals.
The sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed.
Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book 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, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action principle, and demonstrate the usage of path integrals.
The sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger’s source theory treatment of the low-energy π-ρ-N physics and general relativity, where Riemann’s (Einstein’s) ideas on space and time and their philosophical implications are discussed.
Perfect companion for courses on path integrals, advanced mechanics and quantum mechanics as well as semi-classical methods and non-linear dynamics Highlights the principle of stationary action as common starting point of classical and quantum mechanics Includes an introduction to Riemann's (Einstein's) ideas on space and time and their philosophical implications
Autor*in
Walter Dittrich
Themen in »Classical and Quantum Dynamics«
Action Angle Variable Adiabatic Invariance Physics Berry's Phase Canonical Perturbation Theory Hamilton Jacobi Equation Introduction to Classical and Quantum Field Theory Path Integral Physics Schwinger Action Principle Textbook Classical Dynamics Textbook Quantum Dynamics Textbook Quantum Mechanics Topology Quantum Mechanics Lie Brackets