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Author Bunakov, V. E.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword NUCLEAR PHYSICS AND RADIATION PHYSICS ♦ ATOMIC AND MOLECULAR PHYSICS ♦ CHAOS THEORY ♦ DEGREES OF FREEDOM ♦ HAMILTONIANS ♦ LYAPUNOV METHOD ♦ NUCLEAR PHYSICS ♦ QUANTUM NUMBERS ♦ QUANTUM SYSTEMS ♦ SYMMETRY
Abstract A definition of classical and quantum chaos on the basis of the Liouville–Arnold theorem is proposed. According to this definition, a chaotic quantum system that has N degrees of freedom should have M < N independent first integrals of motion (good quantum numbers) that are determined by the symmetry of the Hamiltonian for the system being considered. Quantitative measures of quantum chaos are established. In the classical limit, they go over to the Lyapunov exponent or the classical stability parameter. The use of quantum-chaos parameters in nuclear physics is demonstrated.
ISSN 10637788
Educational Use Research
Learning Resource Type Article
Publisher Date 2016-07-15
Publisher Place United States
Journal Physics of Atomic Nuclei
Volume Number 79
Issue Number 4


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