Summary: Foundations of Physics, Vol. 30, No. 7, 2000
Quantum Chaos An Introduction. Hans-Jurgen Stockmann. Cambridge
University Press, Cambridge, United Kingdom, 1999, xi + 368 pp., 885.00
(hardcover). ISBN 0-521-59284-4.
Quantum chaos is a subject which touches on many areas of physics.
Because of its breadth, no single author has yet attempted to bring a
comprehensive treatment of this exciting field under one roof, until now.
``Quantum Chaos An Introduction'' by Hans-Jurgen Stockmann is a
wonderful and useful compendium of results which will be appreciated by
both theorists and experimentalists working in this field. The author is
uniquely qualified to write this book, having pioneered the field of wave
chaotic microwave billiards. Many of the clearest manifestations of quan-
tum chaos have been demonstrated through these microwave billiards
experiments, much of them capably performed by the author's group.
The quantum mechanics of classically chaotic systems is the purview
of quantum chaos. The term quantum chaos is a bit of a misnomer because
the traditional definition of classical chaos, in terms of perfectly defined
trajectories and extreme sensitivity to initial conditions, cannot be employed
in quantum mechanical systems because of the uncertainty principle. Hence