Partial dynamical symmetry and the suppression of chaos

Journal Article · Mon Oct 04 04:00:00 EDT 1993 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.71.2208· OSTI ID:5920950

Whelan, N; Alhassid, Y ^[1]; Leviatan, A ^[2]

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1. Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06511 (United States)
2. Racah Institute of Physics, The Hebrew University, Jerusalem 91904 (Israel)

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.

• DOE Contract Number: FG02-91ER40608
• OSTI ID: 5920950
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 71:14; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ATTRACTORS
CASIMIR OPERATORS
CLASSICAL MECHANICS
COLLECTIVE EXCITATIONS
DATA
DYNAMICAL GROUPS
EIGENSTATES
ENERGY-LEVEL TRANSITIONS
ENTROPY
EXCITATION
HAMILTONIANS
INFORMATION
INHIBITION
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
MECHANICS
MULTIPOLES
NUCLEI
NUMERICAL DATA
PHYSICAL PROPERTIES
QUADRUPOLES
QUANTUM MECHANICS
QUANTUM OPERATORS
STOCHASTIC PROCESSES
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
THEORETICAL DATA
THERMODYNAMIC PROPERTIES
U GROUPS
U-5 GROUPS