Boson representations of symplectic algebras
Journal Article
·
· Int. J. Theor. Phys.; (United States)
A reduction of the boson representation of the algebra of the noncompact group Sp(4k,R), k>0, to its subgroup SU(k) is realized. The reduction scheme has two main branches: one through the totally symmetric unitary representations of the maximal compact subalgebra u(2k); the other through the ladder representations of the noncompact subalgebra u(k,k). Both reductions are accomplished by means of the same set of Hermitian operators, but taken in different order. The case of k=3, for the group Sp(12, R), used in the interacting vector boson model, is discussed in more detail.
- Research Organization:
- Bulgarian Acad. of Sci., Institute of Nuclear Research, Sofia
- OSTI ID:
- 6837635
- Journal Information:
- Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 25:11; ISSN IJTPB
- Country of Publication:
- United States
- Language:
- English
Similar Records
q-Deformation of symplectic dynamical symmetries in algebraic models of nuclear structure
Simplified boson mappings of symplectic shell model algebras
Boson representations of the real symplectic group and their applications to the nuclear collective model
Journal Article
·
Wed Jun 15 00:00:00 EDT 2011
· Physics of Atomic Nuclei
·
OSTI ID:22043906
Simplified boson mappings of symplectic shell model algebras
Journal Article
·
Fri Aug 01 00:00:00 EDT 1986
· Phys. Rev. C; (United States)
·
OSTI ID:5426092
Boson representations of the real symplectic group and their applications to the nuclear collective model
Journal Article
·
Thu Oct 31 23:00:00 EST 1985
· J. Math. Phys. (N.Y.); (United States)
·
OSTI ID:5219294
Related Subjects
645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CASIMIR OPERATORS
COMMUTATION RELATIONS
DYNAMICAL GROUPS
HERMITIAN OPERATORS
INTERACTING BOSON MODEL
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
NUCLEAR MODELS
O GROUPS
QUANTUM MECHANICS
SHELL MODELS
SP GROUPS
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-6 GROUPS
UNITARY SYMMETRY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CASIMIR OPERATORS
COMMUTATION RELATIONS
DYNAMICAL GROUPS
HERMITIAN OPERATORS
INTERACTING BOSON MODEL
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
NUCLEAR MODELS
O GROUPS
QUANTUM MECHANICS
SHELL MODELS
SP GROUPS
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-6 GROUPS
UNITARY SYMMETRY