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 $h\rightarrow 0$ 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. 
Joshua Wilkie and Paul Brumer (Chemical Physics Theory Group,   Department of Chemistry, University of Toronto)