The unitary irreducible representations of SU(2,1)
- Physics Department, University of Southern California, Los Angeles, California 90089-0484 (US)
This paper analyzes the irreducible unitary representations of SU(2,1) in a basis labeled as {vert bar}{ital p}, {ital q}; {ital jmy}{r angle}, where {ital p},{ital q} correspond to quantum numbers associated with the quadratic and cubic Casimir operators, {ital j},{ital m} label states of the SU(2) subgroup, and {ital y} labels the quantum number with respect to the U(1) subgroup. All the irreducible representations are found and the allowed range of these quantum numbers for each representation are given. The results are expressed in the form of diagrams that show the allowed values in a ({ital j},{ital y}) plot for fixed values of {ital p},{ital q}. A ({ital p},{ital q}) plot is also provided that indicates the allowed values of these quantum numbers.
- DOE Contract Number:
- FG03-84ER40168
- OSTI ID:
- 7093511
- Journal Information:
- Journal of Mathematical Physics (New York); (USA), Vol. 31:7; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
IRREDUCIBLE REPRESENTATIONS
QUANTUM NUMBERS
CASIMIR OPERATORS
DIAGRAMS
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STRING MODELS
SU-2 GROUPS
UNITARY SYMMETRY
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
LIE GROUPS
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