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Phys. Rev. A 68, 062103 (2003) [12 pages]

Chaos and quantum-classical correspondence via phase-space distribution functions

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Jiangbin Gong* and Paul Brumer
Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Canada M5S 3H6

Received 25 July 2003; published 4 December 2003

Quantum-classical correspondence in conservative chaotic Hamiltonian systems is examined using a uniform structure measure for quantal and classical phase-space distribution functions. The similarities and differences between quantum and classical time-evolving distribution functions are exposed by both analytical and numerical means. The quantum-classical correspondence of low-order statistical moments is also studied. The results shed considerable light on quantum-classical correspondence.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.062103
DOI:
10.1103/PhysRevA.68.062103
PACS:
03.65.Sq, 05.45.Mt

*Present address: Department of Chemistry and The James Franck Institute, University of Chicago, Chicago, IL 60637, USA.