Volume 1: 1 Path Integrals in Classical Theory. Brownian motion: Introduction to the concept of parth integration. Wiener path integrals and stochastic processes. 2 Path integrals in Quantum Mechanics. Feynman path integrals. Path integrals in Hamiltonian formalism. Quantizations, the operator ordering problem and path integrals. Path integrals and quantizations in spaces with topologiecal constraints. Path integrals in curved spaces, space time transformations and the Coulomb problem. Path integrals over anticommuting variables for fermions and generalisations. Appendices. Bibliography. Index.
Chaichian, M; Demichev, A
"In contrast to many other existing books on functional integral
methods, this monograph introduces the path integral in an
inductive way by studying the Brownian motion of a particle in a
solvent. Indeed the Brownian motion is probably the best example of
how to understand and acquire the concept of the path integral in
the most natural way … The book will definitely be very helpful for
teachers of the subject as a source of ideas on how to present
concepts of functional integrals with their applications to their
students … the monography can serve as a manual for almost an
encyclopedia collection of information from both the physical
subject and the bibliography in this field."
-Milan Noga
"The reader whose interest ranges across quantum, statistical, and
stochastic field theories and their application to particle physics
and condensed matter physics will find much to enjoy here. The
applications are diverse, from the physics of macromolecules to
Bose-Einstein condensation to quantization on non-commutative
spaces. The explanations are clear, the details present without
being overwhelming, and the equations support the text well,
without being the impenetrable hedge that detail sometimes provokes
… I found reading these books a comfortable and, on occasion, a
familiar, experience."
-R. Rivers, University of London, UK
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