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

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

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 ...

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ژورنال

عنوان ژورنال: Physical Review A

سال: 1997

ISSN: 1050-2947,1094-1622

DOI: 10.1103/physreva.55.43