Partial dynamical symmetry in quantum Hamiltonians with higher-order terms

Partial dynamical symmetry in quantum Hamiltonians with higher-order terms

A generic procedure is proposed to construct many-body quantum Hamiltonians with partial dynamical symmetry. It is based on a tensor decomposition of the Hamiltonian and allows the construction of a hierarchy of interactions that have selected classes of solvable states. The method is illustrated in...

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Veröffentlicht in:Physical review letters 2009-03, Vol.102 (11), p.112502-112502, Article 112502
Hauptverfasser: García-Ramos, J E, Leviatan, A, Van Isacker, P
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
HAMILTONIANS
INTERACTING BOSON MODEL
MANY-BODY PROBLEM
Nuclear Theory
Physics
PLATINUM 196
QUANTUM MECHANICS
SO-6 GROUPS
SYMMETRY
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Beschreibung
Zusammenfassung:A generic procedure is proposed to construct many-body quantum Hamiltonians with partial dynamical symmetry. It is based on a tensor decomposition of the Hamiltonian and allows the construction of a hierarchy of interactions that have selected classes of solvable states. The method is illustrated in the SO(6) limit of the interacting boson model of atomic nuclei and applied to the nucleus 196Pt.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.102.112502