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Discordance between quantum and classical correlation moments for chaotic systems. (English) Zbl 0755.58068

Summary: For systems whose classical orbits are chaotic, a set of quantum expectation values \(Q_ r\) is constructed which vanish for all \(\hbar\), unlike their classical counterparts \(C_ r\) which are finite. This behaviour is not paradoxical because \(Q_ r\) and \(C_ r\) are moments of time correlation functions, which are dominated by the long-time limit where quantum and classical evolution disagree.

MSC:

58Z05 Applications of global analysis to the sciences
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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