Robbins, J. M.; Berry, M. V. Discordance between quantum and classical correlation moments for chaotic systems. (English) Zbl 0755.58068 J. Phys. A, Math. Gen. 25, No. 15, L961-L965 (1992). 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. Cited in 3 Documents 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 Keywords:correlation moments; chaotic systems PDFBibTeX XMLCite \textit{J. M. Robbins} and \textit{M. V. Berry}, J. Phys. A, Math. Gen. 25, No. 15, L961--L965 (1992; Zbl 0755.58068) Full Text: DOI Link