THE “HIGGS ALGEBRA” AS A ‘QUANTUM’ DEFORMATION OF SU(2)

From MaRDI portal
Publication:2727483

DOI10.1142/S021773239200046XzbMath1021.81587OpenAlexW2136105306MaRDI QIDQ2727483

Alexei Zhedanov

Publication date: 31 July 2001

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

Full work available at URL: https://doi.org/10.1142/s021773239200046x




Related Items

Weyl shift of \(q\)-oscillator and \(q\)-polynomialsThe Higgs and Hahn algebras from a Howe duality perspectiveUnified treatment and classification of superintegrable systems with integrals quadratic in momenta on a two-dimensional manifoldCoherent states for the Kepler-Coulomb problem on a sphereAdS perturbations, isometries, selection rules and the Higgs oscillatorTruncation of the reflection algebra and the Hahn algebraA polynomial class of u(2) algebrasJORDAN–SCHWINGER-TYPE REALIZATIONS OF THREE-DIMENSIONAL POLYNOMIAL ALGEBRASOn matrix representations of deformed Lie algebras for quantized HamiltoniansHiggs algebras in classical harmonic analysisHidden symmetries of the Higgs oscillator and the conformal algebraBoson realizations of the polynomial angular momentum algebras with arbitrary powers and their unitarizationIndecomposable representations of the nonlinear Lie algebrasNew realizations of algebras of the Askey–Wilson type in terms of Lie and quantum algebrasApplication of polynomial su(1, 1) algebra to Pöschl-Teller potentialsHolstein–Primakoff realization of Higgs algebra and its q-extensionPizzetti formula on the Grassmannian of 2-planesTwo-boson realizations of the polynomial angular momentum algebra and some applicationsStatistical aspects of coherent states of the Higgs algebraAlgebraic description of SN-invariant oscillator statesThe \(q\)-Higgs and Askey-Wilson algebrasDynamical symmetries of the Klein–Gordon equationSuperintegrability and the dual \(- 1\) Hahn algebra in superconformal quantum mechanicsA 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