On the Clebsch–Gordan problem for SU(1,1): Coupling nonstandard representations

DOI10.1063/1.1643542zbMath1070.81065OpenAlexW2036278986MaRDI QIDQ4833354

Christopher C. Gerry

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1643542

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

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Cites Work

• A COHERENT STATE PATH INTEGRAL FOR ANYONS
• Identity of the SU(1,1) and SU(2) Clebsch-Gordan coefficients coupling unitary discrete representations
• Calogero-Sutherland oscillator: classical behaviour and coherent states
• Squeezed Light
• On non-compact groups. II. Representations of the 2+1 Lorentz group
• Partial Group-Theoretical Treatment for the Relativistic Hydrogen Atom