Classical and Quantum Dynamics von Walter Dittrich | From Classical Paths to Path Integrals | ISBN 9783319863696

Classical and Quantum Dynamics

From Classical Paths to Path Integrals

von Walter Dittrich und Martin Reuter
Mitwirkende
Autor / AutorinWalter Dittrich
Autor / AutorinMartin Reuter
Buchcover Classical and Quantum Dynamics | Walter Dittrich | EAN 9783319863696 | ISBN 3-319-86369-X | ISBN 978-3-319-86369-6

Classical and Quantum Dynamics

From Classical Paths to Path Integrals

von Walter Dittrich und Martin Reuter
Mitwirkende
Autor / AutorinWalter Dittrich
Autor / AutorinMartin Reuter

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.