Partial Dynamical Symmetry and Mixed Dynamics

Details Partial Dynamical Symmetry and Mixed Dynamics Partial Dynamical Symmetry and Mixed Dynamics

1996-08-24

arxiv.org/abs/chao-dyn/9608015v2

Phys. Rev. Lett. 77 (1996) 5202

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1103/PhysRevLett.77.5202

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.

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