Partial Dynamical Symmetry and Mixed Dynamics
chao-dyn
2009-10-28 v2 Chaotic Dynamics
Nuclear Theory
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.
Cite
@article{arxiv.chao-dyn/9608015,
title = {Partial Dynamical Symmetry and Mixed Dynamics},
author = {A. Leviatan and N. D. Whelan},
journal= {arXiv preprint arXiv:chao-dyn/9608015},
year = {2009}
}
Comments
10 pages, Revtex, 3 figures, Phys. Rev. Lett. in press