Realization of the discrete series of unitary representations of Sl(2,R) in terms of creation and annihilation operators

DOI10.1063/1.529688zbMath0759.22026OpenAlexW2041546386MaRDI QIDQ4019992

Samuel MacDowell

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1063/1.529688

zbMATH Keywords

irreducible representationcoherent stateschargediscrete series of unitary representationsparticle- antiparticle creation operators

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30) Applications of group representations to physics and other areas of science (20C35)

Cites Work

• Group theory approach to scattering
• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• On a Hilbert space of analytic functions and an associated integral transform part I

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