Generalized deformed SU(2) algebra

DOI10.1088/0305-4470/26/17/020zbMath0795.17026OpenAlexW2004188087MaRDI QIDQ4299318

P. Kolokotronis, Costas Daskaloyannis, Dennis Bonatsos

Publication date: 25 September 1994

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

Full work available at URL: https://doi.org/10.1088/0305-4470/26/17/020

zbMATH Keywords

generatorsquantum groupsstructure functionbasis vectorseigenvalues of the Casimir operator

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

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Dynamical manifestation of chaotic behaviour in a q-Tsallis harmonic oscillator ⋮ Coherent states for the Kepler-Coulomb problem on a sphere ⋮ Generalized deformed algebras F(A1) and their applications ⋮ Generalized spin coherent states: construction and some physical properties ⋮ A new nonlinear deformation of the \(\text{su}(1,1)\) Lie algebra. ⋮ Application of polynomial su(1, 1) algebra to Pöschl-Teller potentials ⋮ A nonlinear deformed su(2) algebra with a two-color quasitriangular Hopf structure ⋮ Dynamics with unitary phase operator: implications for Wigner's problem ⋮ Statistical aspects of coherent states of the Higgs algebra ⋮ Approach of spherical harmonics to the representation of the deformed su(1,1) algebra ⋮ APPROACH OF THE AZIMUTHAL AND MAGNETIC QUANTUM NUMBERS l AND m TO REPRESENTATION OF A CUBIC DEFORMATION OF su(2) ALGEBRA ⋮ On a type of nonlinear Lie algebras ⋮ Aspects of coherent states of nonlinear algebras

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