Nonlinear generalization of the sl(2) algebra

DOI10.1016/S0375-9601(02)00820-4zbMath0997.17004arXivmath-ph/0207045MaRDI QIDQ1607325

M. A. Rego-Monteiro, Evaldo M. F. Curado

Publication date: 31 July 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0207045

zbMATH Keywords

finite-dimensional representationsdynamical equationcut condition equation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (5)

Bipartite entanglement of generalized Barut-Girardello nonlinear coherent states ⋮ Construction of coherent states for Morse potential: a su(2)-like approach ⋮ Generalized su(1,1) algebra and the construction of nonlinear coherent states for Pöschl-Teller potential ⋮ Time evolution and anti-bunching effect of diatomic molecules coherent states ⋮ Construction of coherent states for physical algebraic systems

Cites Work

• Unnamed Item
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• Multi-parametric deformed Heisenberg algebras: a route to complexity
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Quantum Groups in Two-Dimensional Physics

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