3 papers
quant-ph2020
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…
math.RT2020
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…
math-ph2017
The total angular momentum algebra related to the Dunkl Dirac equation
Hendrik De Bie, Roy Oste, Joris Van der Jeugt
We consider the symmetry algebra generated by the total angular momentum operators, appearing as constants of motion of the Dunkl Dirac equation. The latter is a def…