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Theory of the nucleus as applied to quantum chaos

Journal Article · · Physics of Atomic Nuclei

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, Journal Name: Physics of Atomic Nuclei Journal Issue: 12 Vol. 77; ISSN 1063-7788; ISSN PANUEO
Country of Publication:
United States
Language:
English

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