Quantum-Classical Correspondence via Liouville Dynamics: II. Correspondence for Chaotic Hamiltonian Systems

摘要

We prove quantum-classical correspondence for bound conservative classicallychaotic Hamiltonian systems. In particular, quantum Liouville spectralprojection operators and spectral densities, and hence classical dynamics, areshown to approach their classical analogs in the $h\rightarrow 0$ limit.Correspondence is shown to occur via the elimination of essentialsingularities. In addition, applications to matrix elements of observables inchaotic systems are discussed.