The main theme of this book is the "path integral technique" and   its applications to constructive methods of quantum physics. The   central topic is probabilistic foundations of the Feynman-Kac   formula. Starting with main examples of Gaussian processes (the   Brownian motion, the oscillatory process, and the Brownian   bridge), the author presents four different proofs of the   Feynman-Kac formula. Also included is a simple exposition of   stochastic Itô calculus and its applications, in   particular to the Hamiltonian of a particle in a magnetic field   (the Feynman-Kac-Itô formula).    Among other topics discussed are the probabilistic approach to   the bound of the number of ground states of correlation   inequalities (the Birman-Schwinger principle, Lieb's formula,   etc.), the calculation of asymptotics for functional integrals   of Laplace type (the theory of Donsker-Varadhan) and   applications, scattering theory, the theory of crushed ice, and   the Wiener sausage.    Written with great care and containing many highly illuminating   examples, this classic book is highly recommended to anyone   interested in applications of functional integration to quantum   physics. It can also serve as a textbook for a course in   functional integration.

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