The Hahn superalgebra and supersymmetric Dunkl oscillator models
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Publication:2872154
DOI10.1088/1751-8113/46/50/505204zbMath1280.81060arXiv1309.1701OpenAlexW3101967163MaRDI QIDQ2872154
Jean-Michel Lemay, Vincent X. Genest, Alexei Zhedanov, Luc Vinet
Publication date: 14 January 2014
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1309.1701
Supersymmetry and quantum mechanics (81Q60) Superalgebras (17A70) Quadratic algebras (but not quadratic Jordan algebras) (17A45)
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A representation of the Dunkl oscillator model on curved spaces: Factorization approach ⋮ Free boson realization of the Dunkl intertwining operator in one dimension ⋮ Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature ⋮ On the gauge invariance of Wigner-Dunkl quantum mechanics in the presence of a constant magnetic field ⋮ Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses ⋮ From orthosymplectic structure to super topological matter ⋮ Unnamed Item ⋮ Nonstandard Dirac equations for nonstandard spinors ⋮ Non-linear ladder operators and coherent states for the 2:1 oscillator
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