On eigenfunctions of one-dimensional Schrodinger operator with polynomial potentials
Mathematical Physics
2014-12-09 v1 math.MP
Spectral Theory
Exactly Solvable and Integrable Systems
Abstract
In this paper we point out an connection between eigenfunctions of one-dimensional Schrodinger operator with polynomial potentials of degree 3, 4 and eigenfunctions of rank two commuting ordinary differential operators.
Keywords
Cite
@article{arxiv.1412.2614,
title = {On eigenfunctions of one-dimensional Schrodinger operator with polynomial potentials},
author = {Andrey E. Mironov and Bayan T. Saparbaeva},
journal= {arXiv preprint arXiv:1412.2614},
year = {2014}
}
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7 pages