The Dunkl oscillator on a space of nonconstant curvature: an exactly solvable quantum model with reflections

Angel Ballesteros, Amene Najafizade, Hossein Panahi +2

We introduce the Dunkl-Darboux III oscillator Hamiltonian in N dimensions, defined as a $\lambda -$deformation of the N-dimensional Dunkl oscillator. This deformation can be interpreted e…