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Handbook of Feynman path integrals. (English) Zbl 1029.81045
Springer Tracts in Modern Physics. 145. Berlin: Springer. x, 449 p. (1998).
The main idea of the book is to serve, on the one hand, as an introduction to the theory of path integrals and, on the other hand, to establish (maybe first time) a comprehensive table of path integrals. Following this idea, the Chapters 1-5 (1. Introduction. 2. General Theory. 3. Basic Path Integrals. 4. Perturbation Theory. 5. Semiclassical Theory) form a self-contained and up-to-date text-book for those readers, who have not yet studied path integrals ( a reader is assumed only to be familiar with quantum mechanics). Chapter 6 (the largest part of the book) contains a complete table of path integrals in non-relativistic quantum mechanics including supersymmetric quantum mechanics and statistical mechanics. The list of references consists of 945 items.

MSC:
81S40 Path integrals in quantum mechanics
81-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to quantum theory
58D30 Applications of manifolds of mappings to the sciences
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