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Belyaev M. V., Lazerson A. G. Complex dynamics оf а quantum oscillator. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 2, pp. 25-33. DOI: 10.18500/0869-6632-2003-11-2-25-33

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530.145.61: 530.182

Complex dynamics оf а quantum oscillator

Belyaev Mikhail Vasilevich, Saratov State University
Lazerson Aleksandr Grigorevich, Saratov State University

Complex dynamics of a quantum periodically driven square well is considered. It is shown that analysis оf its ensemble average energy time series provides ап identification of its dynamics to be either regular or chaotic. It has been found that enhancement of the driving force causes the energy spectrum to look like a spectrum of some random process, which may be identified as the signature of chaos in а quantum system.

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