Boson and differential realizations of polynomial angular momentum algebra

DOI10.1063/1.1369656zbMath1015.81030OpenAlexW2060794306MaRDI QIDQ2774929

Dong Ruan, Wei Ruan, Yufeng Jia

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1369656

zbMATH Keywords

universal enveloping algebrainduced representationsFock representationsmaster representation

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (6)

Deformed quantum phase spaces, realizations, star products and twists ⋮ Symmetric ordering and Weyl realizations for quantum Minkowski spaces ⋮ Indecomposable representations and boson realizations of the nonlinear deformed angular momentum algebra of Witten's first type ⋮ Boson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarization ⋮ SINGLE BOSON AND INVERSION BOSON REALIZATIONS OF MULTI-PARAMETER NONLINEARLY DEFORMED ANGULAR MOMENTUM ALGEBRA ⋮ A new boson realization of fusion polynomial algebras in non-Hermitian quantum mechanics: γ-deformed su(2) generators, PT -symmetry in Fock space and Higgs algebra

Cites Work

• Quantum BRST charge for quadratically nonlinear Lie algebras
• Boson realization of nonlinear \(\text{SO}(3)\) algebra.
• A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
• Indecomposable representations of the nonlinear Lie algebras
• General Theory of Spin-Wave Interactions
• Boson operator realizations of su(2) and su(1,1) and unitarization
• Addendum to `On nonlinear angular momentum theories, their representations and associated Hopf structures'
• On realizations of `nonlinear' Lie algebras by differential operators
• Generalized deformed algebras F(A1) and their applications
• On some nonlinear extensions of the angular momentum algebra

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