Crossover-Time in Quantum Boson and Spin Systems: 21 (Lecture Notes in Physics Monographs) - Hardcover

Berman, Gennady P.; Holm, D. D.; Bulgakov, E. N.

Hardcover

ISBN 10: 3540580115 ISBN 13: 9783540580119

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1994

Synopsis

The authors compare classical and quantum dynamics in the quasiclassical region of parameters and under the condition of unstable (chaotic) classical behavior. They estimate the characteristic time-scale at which classical and quantum solutions start to differ significantly. The method is based on exact equations for time-dependent expectation values in boson and spin coherent states, and applies to rather general Hamiltonians with many degrees of freedom. The authors develop a consistent dynamical theory for quantum nonintegrable Hamiltonians and provide explicit examples of classical-quantum "crossover-time", a very common and fundamental phenomenon in quantum nonintegrable systems. This book can be recommended to graduate students and to specialists.

About this title

Review

"...an attractive introduction to some of the key mathematical and physical concepts of importance to an understanding of such systems and to the general area of quantum chaos. As such it deserves a much wider audience than its title might at first glance suggest." Contemporary Physics

Edition details

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1994
• Language: English
• ISBN 10: 3540580115
• ISBN 13: 9783540580119
• Binding: Hardcover
• Number of pages: 279