Quantum-classical correspondence via Liouville dynamics. II. Correspondence for chaotic Hamiltonian systems

Joshua Wilkie and Paul Brumer
Phys. Rev. A 55, 43 – Published 1 January 1997
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Abstract

We prove quantum-classical correspondence for bound conservative classically chaotic Hamiltonian systems. In particular, quantum Liouville spectral projection operators and spectral densities, and hence classical dynamics, are shown to approach their classical analogs in the h→0 limit. Correspondence is shown to occur via the elimination of essential singularities. In addition, applications to matrix elements of observables in chaotic systems are discussed.

  • Received 14 June 1996

DOI:https://doi.org/10.1103/PhysRevA.55.43

©1997 American Physical Society

Authors & Affiliations

Joshua Wilkie and Paul Brumer

  • Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6

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Vol. 55, Iss. 1 — January 1997

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