Feynman Integral and Random Dynamics in Quantum Physics

This volume presents a mathematical theory of the Feynman integral based on probabilistic methods, which is applied to controllable approximations to Hamiltonian and dissipative quantum dynamics. A wide range of methods of random dynamical systems is discussed for models of quantum physics. The probabilistic method is considered an efficient tool for analytic and numerical approximations of the dynamics of large complex quantum systems. This book should be of interest to specialists in mathematical physics, quantum mechanics, quantum field theory, stochastic processes, dynamical systems and computational physics. It can also be recommended as an introduction to problems of mathematical physics for graduate students of mathematics and theoretical physics.