Partial dynamical symmetry and mixed dynamics

A. Leviatan, N. D. Whelan

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


Partial dynamical symmetry describes a situation in which some eigenstates have a symmetry which the quantum Hamiltonian does not share. This property is shown to have a classical analog in which some tori in phase space are associated with a symmetry which the classical Hamiltonian does not share. A local analysis in the vicinity of these special tori reveals a neighborhood of phase space foliated by tori. This clarifies the suppression of classical chaos associated with partial dynamical symmetry. The results are used to divide the states of a mixed system into “chaotic” and “regular” classes.

Original languageAmerican English
Pages (from-to)5202-5205
Number of pages4
JournalPhysical Review Letters
Issue number26
StatePublished - 1996


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