Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions
Quantum Physics
2024-11-06 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
This paper presents the first-order supersymmetric rational extension of the quantum anisotropic harmonic oscillator (QAHO) in multiple dimensions, including full-line, half-line, and their combinations. The exact solutions are in terms of the exceptional orthogonal polynomials. The rationally extended potentials are isospectral to the conventional QAHOs.
Keywords
Cite
@article{arxiv.2411.02955,
title = {Rational Extension of Anisotropic Harmonic Oscillator Potentials in Higher Dimensions},
author = {Rajesh Kumar and Rajesh Kumar Yadav and Avinash Khare},
journal= {arXiv preprint arXiv:2411.02955},
year = {2024}
}
Comments
19 pages, 2 figures and 2 tables