Comprehensive, detailed, and systematic, this volume presents the
fundamentals of path integrals, both the Wiener and Feynman type, and their
many applications in physics. Accessible to a broad community of theoretical
physicists, the book deals with systems possessing a infinite number of
degrees in freedom. It discusses the general physical background and
concepts of the path integral approach used, followed by a detailed
presentation of the most typical and important applications as well as
problems with either their solutions or hints how to solve them. The book
describes in detail various applications, including systems with Grassmann
Table Of Contents:
1. Path Integrals in Classical Theory.
Brownian Motion: Introduction to the concept of path integration.
Wiener path integrals and Stochastic Processes.
2. Path Integrals in Quantum Mechanics. Feynman Path Integrals.
Path Integrals in Hamiltonian Formalism.
Quantization, the Operator Ordering Problem and Path Integrals.
Path Integrals and Quantizations in Spaces with Topological Constraints.
Path Integrals in Curved Spaces, Space-time Transformations and the Coulomb
Path Integrals over Anticommuting Variables for Fermions and Generalizations.
* ISBN: 075030801X
* ISBN-13: 9780750308014
* Format: Hardcover, 500pp
* Publisher: Taylor & Francis, Inc.
* Pub. Date: December 2001