Partial dynamical symmetry and the suppression of chaos

N. Whelan, Y. Alhassid, and A. Leviatan
Phys. Rev. Lett. 71, 2208 – Published 4 October 1993
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Abstract

Partial dynamical symmetry is a situation in which the Hamiltonian does not have a certain symmetry yet a subset of its eigenstates does. It is shown that partial dynamical symmetry may cause suppression of chaos even in cases where the fraction of states which has the symmetry vanishes in the classical limit. The average entropy associated with the symmetry is a sensitive quantum measure of the partial symmetry and its effect on the chaotic dynamics.

  • Received 9 April 1993

DOI:https://doi.org/10.1103/PhysRevLett.71.2208

©1993 American Physical Society

Authors & Affiliations

N. Whelan and Y. Alhassid

  • Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06511

A. Leviatan

  • Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel

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Issue

Vol. 71, Iss. 14 — 4 October 1993

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