Graduate students who wish 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 fifth edition has been revised and enlarged to include chapters on quantum electrodynamics, in particular, Schwinger?s proper time method and the treatment of classical and quantum mechanics with Lie brackets and pseudocanonical transformations. It is shown that operator quantum electrodynamics can be equivalently described with c-numbers, as demonstrated by calculating the propagation function for an electron in a prescribed classical electromagnetic field.
Classical and Quantum Dynamics Ebook
From Classical Paths to Path Integrals
By: Walter Dittrich; Martin Reuter
Publisher:
Springer
Print ISBN: 9783319582979, 3319582976
eText ISBN: 9783319582986, 3319582984
Edition: 5th
Copyright year: 2017
Format: EPUB
Available from $ 89.99 USD
SKU: 9783319582986
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