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quant-ph2020★ 29 cited
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★ 4 cited
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…