Supersymmetric Quantum mechanics on the radial lines

2018/11/06 by Fethi Bouzeffour, F. Bouzeffour, Bouzeffour, F. +3
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math.CA

paper · pdf · doi:10.48550/arxiv.1811.02151

arxiv created 2018/11/06 · openalex publication_date 2018/11/06 · arxiv updated 2018/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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