Generalized deformed algebras F(A1) and their applications

DOI10.1063/1.530878zbMath0832.17019OpenAlexW2003443110MaRDI QIDQ4327230

Feng Pan

Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530878

zbMATH Keywords

unitary representationsquantum algebrasLie algebrasgeneralized deformed algebras

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) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (8)

Polynomial deformations of osp(1/2) and generalized parabosons ⋮ A new nonlinear deformation of the \(\text{su}(1,1)\) Lie algebra. ⋮ Conservation laws for polynomial quantum Hamiltonians. ⋮ Boson and differential realizations of polynomial angular momentum 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 ⋮ Representations of general commutation relations

Cites Work

• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• Generalized deformed oscillator and nonlinear algebras
• On the q-analogue of the hydrogen atom
• Generalized deformed oscillator corresponding to the modified Poschl-Teller energy spectrum
• Generalized deformed SU(2) algebra
• Nonlinear deformations of su(2) and su(1,1) generalizing Witten's algebra
• Quantum deformations of SU(3) and subalgebras
• The general U_q(sl(2)) invariant XXZ integrable quantum spin chain

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