Supersymmetric Quantum mechanics on the radial lines
Classical Analysis and ODEs
2018-11-07 v1
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.
Cite
@article{arxiv.1811.02151,
title = {Supersymmetric Quantum mechanics on the radial lines},
author = {F. Bouzeffour and M. Garayev},
journal= {arXiv preprint arXiv:1811.02151},
year = {2018}
}