Quantum Chaos and Symmetries in Nuclear Spectroscopy

Physics

Scientific paper

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Scientific paper

There is no generally acceptable quantum chaos definition in physics yet, hence we believe that the application of existing approaches to various specific physical systems would help to solve this problem. In our approach to quantum chaos problem we employ the dynamical quantum chaos criterion κk = Γspr (k)/D0, introduced by V.Bunakov, where Γspr (k) - fragmentation width of the unperturbed quantum state, D0 - averaged distance between the levels of unperturbed system. This criterion is associated with physical system symmetries via the conservation laws for corresponding quantum numbers. We consider the application of Bunakov's criterion κk both to the traditional (Nilson single-particle) nuclear model as well as to the algebraic microscopic strictly restricted dynamics nuclear model (SRDM). In the case of SRDM dynamical criterion κk seems to be more sensitive indicator of quantum chaos, in comparision with the statistical one, associated with level spacing distributions.

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