134 citations · 2.5k across the 122 of their papers we have counts for
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chao-dyn1996★ 55 cited
Quantum-Classical Correspondence via Liouville Dynamics: II. Correspondence for Chaotic Hamiltonian Systems
Joshua Wilkie, Paul Brumer
We prove quantum-classical correspondence for bound conservative classically chaotic Hamiltonian systems. In particular, quantum Liouville spectral projection operators and spectra…
chao-dyn1996★ 66 cited
Quantum-Classical Correspondence via Liouville Dynamics: I. Integrable Systems and the Chaotic Spectral Decomposition
Joshua Wilkie, Paul Brumer
A general program to show quantum-classical correspondence for bound conservative integrable and chaotic systems is described. The method is applied to integrable systems and the n…
chao-dyn1996★ 21 cited
Exponential Divergence and Long Time Relaxation in Chaotic Quantum Dynamics
Arjendu K. Pattanayak, Paul Brumer
Phase space representations of the dynamics of the quantal and classical cat map are used to explore quantum--classical correspondence in a K-system: as , the classica…