The Lorentz group in the oscillator realization. II. Integral transforms and matrix elements of SO(2,1)

DOI10.1063/1.524484zbMath0471.22025OpenAlexW2076967989MaRDI QIDQ3924417

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Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524484

zbMATH Keywords

discrete series representationsMellin transformationsfinite transformation matrices

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Structure and representation of the Lorentz group (22E43)

Related Items (1)

Representations of SL(2,R) in a Hilbert space of analytic functions and a class of associated integral transforms

Cites Work

• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• Matrix elements of representations of noncompact groups in a continuous basis
• Irreducible unitary representations of the Lorentz group
• 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
• New forms for the representations of the three-dimensional Lorentz group

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