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Details for:
Dittrich W. Classical and Quantum Dynamics...6ed 2020
dittrich w classical quantum dynamics 6ed 2020
Type:
E-books
Files:
1
Size:
5.7 MB
Uploaded On:
Feb. 10, 2020, 11:50 a.m.
Added By:
andryold1
Seeders:
1
Leechers:
0
Info Hash:
947150EA4A5CA3692E63747D879E14D426213E24
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Textbook in PDF format 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. Table of contents 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
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Dittrich W. Classical and Quantum Dynamics...6ed 2020.pdf
5.7 MB
