Phys. Rev. A 55, 43–61 (1997)Quantum-classical correspondence via Liouville dynamics. II. Correspondence for chaotic Hamiltonian systemsReceived 14 June 1996; published in the issue dated January 1997 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. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.55.43
DOI:
10.1103/PhysRevA.55.43
PACS:
03.65.-w
See AlsoSee Also: Joshua Wilkie and Paul Brumer, Quantum-classical correspondence via Liouville dynamics. I. Integrable systems and the chaotic spectral decomposition, Phys. Rev. A 55, 27 (1997). |
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