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arXiv · 1811.02151

Supersymmetric Quantum mechanics on the radial lines

F. Bouzeffour·M. Garayev
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Abstract

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

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F. Bouzeffour, M. Garayev. 2018-11-06. Supersymmetric Quantum mechanics on the radial lines. https://arxiv.org/abs/1811.02151

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