Class of unitary representations of the Lie group Sp(3, R), its coherent states, and its map to a
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
Unitary representations from the positive discrete series of Sp(3, R) with lowest weight w = )w/sub 0/w/sub 0/w/sub 0/) are considered. By use of new relations on the enveloping algebra, the generators are constructed as differential operators acting on functions of six real variables. Coherent states for these representations are constructed with the help of the Iwasawa decomposition and used to map the representation space to a symplectic realization on the dual sp*(3, R).
- Research Organization:
- Institut fuer Theoretische Physik der Universitaet Tuebingen, D-7400 Tuebingen, Federal Republic of Germany
- OSTI ID:
- 6443815
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:1; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
653007* -- Nuclear Theory-- Nuclear Models-- (-1987)
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRA
BANACH SPACE
CLASSICAL MECHANICS
COLLECTIVE MODEL
ENERGY LEVELS
GROUND STATES
GROUP THEORY
HILBERT SPACE
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
NUCLEAR MODELS
QUANTUM MECHANICS
SP GROUPS
SPACE
SYMMETRY GROUPS
UNITARITY
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRA
BANACH SPACE
CLASSICAL MECHANICS
COLLECTIVE MODEL
ENERGY LEVELS
GROUND STATES
GROUP THEORY
HILBERT SPACE
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
NUCLEAR MODELS
QUANTUM MECHANICS
SP GROUPS
SPACE
SYMMETRY GROUPS
UNITARITY