Quantum signatures of chaos or quantum chaos?


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详细

A critical analysis of the present-day concept of chaos in quantum systems as nothing but a “quantum signature” of chaos in classical mechanics is given. In contrast to the existing semi-intuitive guesses, a definition of classical and quantum chaos is proposed on the basis of the Liouville–Arnold theorem: a quantum chaotic system featuring N degrees of freedom should have M < N independent first integrals of motion (good quantum numbers) specified by the symmetry of the Hamiltonian of the system. Quantitative measures of quantum chaos that, in the classical limit, go over to the Lyapunov exponent and the classical stability parameter are proposed. The proposed criteria of quantum chaos are applied to solving standard problems of modern dynamical chaos theory.

作者简介

V. Bunakov

St. Petersburg State University; Petersburg Nuclear Physics Institute

编辑信件的主要联系方式.
Email: bunakov@VB13190.spb.edu
俄罗斯联邦, Universitetskaya naberezhnaya 7-9, St. Petersburg, 199034; Gatchina, 188300

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