16 citations · 49 across the 7 of their papers we have counts for
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A superintegrable model with reflections on and the higher rank Bannai-Ito algebra
Hendrik De Bie, Vincent X. Genest, Jean-Michel Lemay +1
A quantum superintegrable model with reflections on the -sphere is presented. Its symmetry algebra is identified with the higher rank generalization of the Bannai-Ito algebr…
A superintegrable model with reflections on and the rank two Bannai-Ito algebra
Hendrik De Bie, Vincent X. Genest, Jean-Michel Lemay +1
A quantum superintegrable model with reflections on the three-sphere is presented. Its symmetry algebra is identified with the rank-two Bannai-Ito algebra. It is shown that the Ham…
The Hahn superalgebra and supersymmetric Dunkl oscillator models
Vincent X. Genest, Jean-Michel Lemay, Luc Vinet +1
A supersymmetric extension of the Hahn algebra is introduced. This quadratic superalgebra, which we call the Hahn superalgebra, is constructed using the realization provided by the…