Noncompact Lie-algebraic approach to the unitary representations of SU∼(1,1): Role of the confluent hypergeometric equation
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Publication:4405391
DOI10.1063/1.1666656zbMath0278.22014OpenAlexW2148896263MaRDI QIDQ4405391
W. D. Montgomery, Lochlainn O'Raifeartaigh
Publication date: 1974
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1666656
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Applications of Lie groups to the sciences; explicit representations (22E70)
Related Items (5)
The Gel’fand realization and the exceptional representations of SL(2,R) ⋮ Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψt t − Δ2Ψ = 0 ⋮ Canonical transforms. III. Configuration and phase descriptions of quantum systems possessing an s l (2,R) dynamical algebra ⋮ The Lorentz group in the oscillator realization. I. The group SO(2,1) and the transformation matrices connecting the SO(2) and SO(1,1) bases ⋮ Quantization of the classical SL(2,R) system and representations of SL(2,R) group
Cites Work
- Analytic vectors
- The Plancherel formula for the universal covering group of SL(R, 2)
- Irreducible unitary representations of the Lorentz group
- Some Properties of Ladder Operators
- Master Analytic Representation: Reduction of O(2, 1) in an O(1, 1) Basis
- INTEGRAL RELATIONS FOR THE WHITTAKER FUNCTIONS AND THE REPRESENTATIONS OF THE THREE-DIMENSIONAL LORENTZ GROUP
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