Supersymmetric Quantum mechanics on the radial lines
arXiv:1811.02151
Abstract
We investigate a type of Hermite orthogonal polynomials on lines in the plane which have a common point at the origin and endpoints at the roots of unity and we show that their related Hermite functions are eigenfunctions of a differential-difference operator. A supersymmetric harmonic oscillator on radial lines is presented and analyzed. Its eigenfunctions are given in terms of these polynomials.