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- Université de MontréalCA28 papers
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13 papers · 1 filter
A Laplace-Dunkl equation on and the Bannai-Ito algebra
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The analysis of the Laplace-Dunkl equation on the -sphere is cast in the framework of the Racah problem for the Hopf algebra . The related Dunkl-L…
The Racah algebra and superintegrable models
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The universal character of the Racah algebra will be illustrated by showing that it is at the center of the relations between the Racah polynomials, the recoupling of three su(1,1)…
The Dunkl oscillator in three dimensions
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The isotropic Dunkl oscillator model in three-dimensional Euclidean space is considered. The system is shown to be maximally superintegrable and its symmetries are obtained by the…
The multivariate Meixner polynomials as matrix elements of representations on oscillator states
Vincent X. Genest, Hiroshi Miki, Luc Vinet +1
The multivariate Meixner polynomials are shown to arise as matrix elements of unitary representations of the group on oscillator states. These polynomials depend on d…
Nanoscopic friction under electrochemical control
A. S. de Wijn, A. Fasolino, A. Filippov +1
We propose a theoretical model of friction under electrochemical conditions focusing on the interaction of a force microscope tip with adsorbed polar molecules of which the orienta…
The equitable Racah algebra from three su(1,1) algebras
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
The Racah algebra, a quadratic algebra with two independent generators, is central in the analysis of superintegrable models and encodes the properties of the Racah polynomials. It…