Quantum-classical correspondence via Liouville dynamics. II. Correspondence for chaotic Hamiltonian systems
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.
- Publication:
-
Physical Review A
- Pub Date:
- January 1997
- DOI:
- 10.1103/PhysRevA.55.43
- arXiv:
- arXiv:chao-dyn/9608014
- Bibcode:
- 1997PhRvA..55...43W
- Keywords:
-
- Nonlinear Sciences - Chaotic Dynamics;
- Quantum Physics
- E-Print:
- 41 pages, revtex, second of two papers