Partial Dynamical Symmetry and Mixed Dynamics

Abstract

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 analogue 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 neighbourhood 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.

10 pages, Revtex, 3 figures, Phys. Rev. Lett. in press

References in corpus (2)

• Partial Dynamical Symmetry in Deformed Nuclei
• Separating the regular and irregular energy levels and their statistics in Hamiltonian system with mixed classical dynamics

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