Theory of the nucleus as applied to quantum chaos

Journal Article · Mon Dec 15 00:00:00 EST 2014 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778814120059· OSTI ID:22314737

Bunakov, V. E., E-mail: [e-mail] ^[1]

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1. St. Petersburg State University, Petersburg Nuclear Physics Institute, National Research Center Kurchatov Institute (Russian Federation)

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. It is proposed to specify a regular versus a chaotic behavior on the basis of symmetries of the system being considered and global integrals of motion that are associated with these symmetries in accordance with the Liouville-Arnold theorem rather than on the basis of the concept of Lyapunov’s instability of trajectories. Numerical criteria of quantum chaos that follow from the proposed concept are analyzed.

• OSTI ID: 22314737
• Journal Information: Physics of Atomic Nuclei, Vol. 77, Issue 12; Other Information: Copyright (c) 2014 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CHAOS THEORY
CLASSICAL MECHANICS
INSTABILITY
LYAPUNOV METHOD
NUCLEI
QUANTUM MECHANICS
SYMMETRY
TRAJECTORIES