The Clebsch–Gordan problem of the SL(2,R) coherent states

DOI10.1063/1.529880zbMath0771.46018OpenAlexW2016103622MaRDI QIDQ4030986

Debabrata Basu

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529880

zbMATH Keywords

Clebsch-Gordan coefficientsorthonormal setprincipal vectorBargmann-Segal Hilbert spaceassociated Hilbert spacesBarut- Girardello coherent statescarrier spaces of the representations of the groupPerelomov coherent statesreduced Bargmann space

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Coherent states (81R30) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Applications of group representations to physics and other areas of science (20C35)

Related Items (2)

Coherency of su(1,1)-Barut–Girardello type and entanglement for spherical harmonics ⋮ New generalized coherent states arising from generating functions: a novel approach

Cites Work

• The Clebsch-Gordan problem of the angular momentum coherent states
• A general study of the Wigner coefficients of \(\mathrm{SU}(1,1)\)
• New 'coherent' states associated with non-compact groups
• Coherent states for arbitrary Lie group
• Irreducible unitary representations of the Lorentz group
• On the Kronecker Products of Irreducible Representations of the 2 × 2 Real Unimodular Group. I
• Some new identities of the Clebsch–Gordan coefficients and representation functions of SO(2,1) and SO(4)
• The Gel’fand realization and the generating function of the Clebsch–Gordan coefficients of SL(2,R) in the hyperbolic basis
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
• On the wigner coefficients of the three-dimensional Lorentz group

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