Exact solution of the Dunkl–Schrödinger equation for an angular-dependent potential and application of the Hellman–Feynman theorem

We determine the closed-form solution of a three-dimensional stationary Schrödinger equation for an angular-dependent potential in spherical coordinates within the Dunkl formalism. Furthermore, we calculate the change of the system’s total energy with respect to coupling constants in the potential by means of the Hellman–Feynman theorem.