Based on courses given at the universities of Texas in Austin, and
California in San Diego, this book treats an active fields of research
that touches upon the foundations of physics and chemistry. It presents,
in as simple a manner as possible, the basic mechanisms that determine
the dynamical evolution of both classical and quantum systems in
sufficient generality to include quantum phenomena. The book begins with
a discussion of Noether's theorem, integrability, KAM theory, and a
definition of chaotic behavior; it continues with a detailed discussion
of area-preserving maps, integrable quantum systems, spectral
properties, path integrals, and periodically driven systems; and it
concludes by showing how to apply the ideas to stochastic systems. The
presentation is complete and self-contained; appendices provide much of
the needed mathematical background, and there are extensive references
to the current literature. Problems at the ends of chapters help
students clarify their understanding. In this new edition, the
presentation will be brought up to date throughout, and a new chapter on
open quantum systems will be added.