Transformation brackets between U(N)⊃SO(N)⊃SO(Na)⊕SO(Nb) and U(N)⊃U(Na)⊕U(Nb)⊃SO(Na)⊕SO(Nb)

DOI10.1063/1.532229zbMath0896.22008OpenAlexW1507340838MaRDI QIDQ4384797

V. K. B. Kota

Publication date: 27 September 1998

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

Full work available at URL: https://doi.org/10.1063/1.532229

zbMATH Keywords

hypergeometric seriesgeneralized Laguerre polynomialsbispherical coordinatessymmetric representationsboson modelsunitary Lie group

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (1)

Realizations of su(1,1) and Uq(su(1,1)) and generating functions for orthogonal polynomials

Cites Work

• Group theoretical aspects of the extended interacting boson model
• New construction of 3nj-symbols
• Coupling coefficients for Lie algebra representations and addition formulas for special functions
• Transformation brackets between U(ν+1)⊃U(ν)⊃SO(ν) and U(ν+1)⊃SO(ν+1)⊃SO(ν)

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