Quantum-classical correspondence via Lionville dynamics .2. Correspondence for chaotic Hamiltonian systems

被引：46
作者：
Wilkie, J
Brumer, P
机构：
[1] Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, ON
来源：
PHYSICAL REVIEW A | 1997年 / 55卷 / 01期
关键词：
D O I：
10.1103/PhysRevA.55.43
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
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.
引用
收藏
页码：43 / 61
页数：19
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