SINGLE BOSON AND INVERSION BOSON REALIZATIONS OF MULTI-PARAMETER NONLINEARLY DEFORMED ANGULAR MOMENTUM ALGEBRA

DOI10.1142/S0217732313501137zbMath1277.81069OpenAlexW2007273346MaRDI QIDQ2865966

Huajun Huang, Dong Ruan, Youning Li

Publication date: 12 December 2013

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

Full work available at URL: https://doi.org/10.1142/s0217732313501137

zbMATH Keywords

deformed algebraangular momentum algebraboson realizationsu(2)inversion boson

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

• Unnamed Item
• Noncommutative spacetimes. Symmetries in noncommutative geometry and field theory
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization
• Indecomposable representations and boson realizations of the nonlinear deformed angular momentum algebra of Witten's first type
• A CUBIC DEFORMATION OF su(2)
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• Multi-parametric deformed Heisenberg algebras: a route to complexity
• Boson and differential realizations of polynomial angular momentum algebra
• Unified (p, q; α, β, ν; γ) −deformed oscillator algebra: Irreducible representations and induced deformed harmonic oscillator
• Exact solutions for a family of spin-boson systems
• Quantum deformations of SU(2)
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• General Theory of Spin-Wave Interactions
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Superintegrability and higher order polynomial algebras
• GENERALIZED DEFORMED HARMONIC OSCILLATORS IN THE FRAMEWORK OF UNIFIED (q; α, β, γ; ν)-DEFORMATION
• Dynamical symmetries in a spherical geometry. I
• On realizations of `nonlinear' Lie algebras by differential operators
• THREE-PARAMETER (TWO-SIDED) DEFORMATION OF HEISENBERG ALGEBRA
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet
• Quantum groups

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