On a type of nonlinear Lie algebras

DOI10.1016/S0375-9601(00)00519-3zbMath1050.81547WikidataQ127473353 ScholiaQ127473353MaRDI QIDQ1579390

Dong Ruan, Wei Ruan

Publication date: 6 September 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

matrix elementsangular momentum eigenstatesangular momentum operatornonlinear Lie algebrasSchwinger's coupled boson theorySO(3) irreducible tensor operator

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization

Cites Work

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• Generalized deformed parafermions, nonlinear deformations of \(\text{so}(3)\) and exactly solvable potentials
• A CUBIC DEFORMATION OF su(2)
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• Dynamical symmetries in a spherical geometry. I
• Generalized deformed oscillator and nonlinear algebras
• Generalized deformed SU(2) algebra
• Generalized deformed algebras F(A1) and their applications
• On nonlinear angular momentum theories, their representations and associated Hopf structures
• On some nonlinear extensions of the angular momentum algebra

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