29 citations · 120 across the 16 of their papers we have counts for
4 papers · 1 filter
Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter
E. I. Jafarov, S. M. Nagiyev, R. Oste +1
We present an exact solution of a confined model of the non-relativistic quantum harmonic oscillator, where the effective mass and the angular frequency are dependent on the positi…
Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl--Dirac operator
Hendrik De Bie, Alexis Langlois-Rémillard, Roy Oste +1
The Dunkl--Dirac operator is a deformation of the Dirac operator by means of Dunkl derivatives. We investigate the symmetry algebra generated by the elements supercommuting with th…
An exceptional symmetry algebra for the 3D Dirac-Dunkl operator
Alexis Langlois-Rémillard, Roy Oste
We initiate the study of an algebra of symmetries for the 3D Dirac-Dunkl operator associated with the Weyl group of the exceptional root system . For this symmetry algebra, we…
Deformations of unitary Howe dual pairs
Dan Ciubotaru, Hendrik De Bie, Marcelo De Martino +1
We study deformations of the Howe dual pairs and to the context of a rational Cherednik algebra $H_{1,c}(G,E…