Mixed basis matrix elements for the subgroup reductions of SO(2,1)

DOI10.1063/1.1666374zbMath0255.22020OpenAlexW2043080509MaRDI QIDQ5669501

Ernest G. Kalnins

Publication date: 1973

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10289/1251

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (7)

Generalized Pöschl–Teller, Toda, Morse potentials and SL(2,R) group ⋮ The Gel’fand realization and the exceptional representations of SL(2,R) ⋮ 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 ⋮ The wave equation, O(2, 2), and separation of variables on hyperboloids ⋮ The unitary irreducible representations of SL(2, R) in all subgroup reductions ⋮ Lie theory and separation of variables. 4. The groups SO (2,1) and SO (3) ⋮ Lie theory and separation of variables. 5. The equations iUt + Uxx = 0 and iUt + Uxx −c/x2 U = 0

Cites Work

• Irreducible unitary representations of the Lorentz group
• Decomposition of the Unitary Irreducible Representations of the Group SL(2C) Restricted to the Subgroup SU(1, 1)
• Master Analytic Representation: Reduction of O(2, 1) in an O(1, 1) Basis

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