Exceptional Polynomials and SUSY Quantum Mechanics
Mathematical Physics
2015-07-29 v2 math.MP
Quantum Physics
Abstract
We show that the existence of exceptional polynomials leads to the presence of non-trivial supersymmetry. The existence of these polynomials reveals several distinct isospectral potentials for the Schr\"odinger equation. All Schr\"odinger equations having Laguerre and Jacobi polynomials as their solutions, have non-trivial supersymmetric partners with corresponding exceptional polynomials as solutions.
Cite
@article{arxiv.1110.3738,
title = {Exceptional Polynomials and SUSY Quantum Mechanics},
author = {K. V. S. Shiv Chaitanya and S. Sree Ranjani and Prasanta K. Panigrahi and R Radhakrishnan and V. Srinivasan},
journal= {arXiv preprint arXiv:1110.3738},
year = {2015}
}
Comments
9 pages