The Feynman integral is considered as an intuitive representation of quantum mechanics showing the complex quantum phenomena in a language comprehensible at a classical level. It suggests that the quantum transition amplitude arises from classical mechanics by an average over various interfering paths. The classical picture suggested by the Feynman integral may be illusory. By most physicists the path integral is usually treated as a convenient formal mathematical tool for a quick derivation of useful approximations in quantum mechanics. Results obtained in the formalism of Feynman integrals...

This volume covers a wide range of problems in the quantum mechanics of non-integrable systems presented by experts in the field. The main part of the work concerns quantum chaos, and dynamical aspects of chaos in particular. Among the subjects which are treated are: periodic perturbations, small denominators in quantum mechanics, tunneling in the presence of a periodic perturbation, chaotic scattering, quantum maps, level statistics of chaotic systems and random matrices. The papers are concerned with mathematically rigorous derivations of results, as well as with their physical...