Exactly solvable extended potentials in arbitrary dimensions
Mathematical Physics
2014-02-07 v1 math.MP
Abstract
We apply a simple transformation method to construct a set of new exactly solvable potentials (ESP) which gives rise to bound state solution of -dimensional Schr\"odinger equation. The important property of such exactly solvable quantum systems is that their normalized eigenfunctions can be written in terms of recently introduced exceptional orthogonal polynomials (EOP).
Keywords
Cite
@article{arxiv.1402.1265,
title = {Exactly solvable extended potentials in arbitrary dimensions},
author = {Nabaratna Bhagawati},
journal= {arXiv preprint arXiv:1402.1265},
year = {2014}
}
Comments
11 pages