Quantum chaos in nuclear physics

Journal Article · Fri Jul 15 00:00:00 EDT 2016 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778816040062· OSTI ID:22612640

Bunakov, V. E., E-mail: [e-mail] ^[1]

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1. St. Petersburg State University (Russian Federation)

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.

• OSTI ID: 22612640
• Journal Information: Physics of Atomic Nuclei, Vol. 79, Issue 4; Other Information: Copyright (c) 2016 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
CHAOS THEORY
DEGREES OF FREEDOM
HAMILTONIANS
LYAPUNOV METHOD
NUCLEAR PHYSICS
QUANTUM NUMBERS
QUANTUM SYSTEMS
SYMMETRY