SU(1,1), its connections with SU(2), and the vector model
DOI10.1063/1.528093zbMath0785.22028OpenAlexW1988700607MaRDI QIDQ4279912
Publication date: 17 April 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528093
probability densitiesunitary irreducible representationsClebsch-Gordan coefficientsrepresentation functionsvector modelalgorithms for numerical computations
Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Applications of linear algebraic groups to the sciences (20G45)
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
- A general study of the Wigner coefficients of \(\mathrm{SU}(1,1)\)
- Irreducible unitary representations of the Lorentz group
- Classical limits of clebsch-gordan coefficients, racah coefficients and Dmnl (φ, ϑ, ψ)-functions
- Path integration over compact and noncompact rotation groups
- Equivalence of a class of Wigner coefficients of S U (1,1) with those of S U (2)
- Identity of the SU(1,1) and SU(2) Clebsch-Gordan coefficients coupling unitary discrete representations
- Symmetries of extended 3j coefficients
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