On eigenfunctions of one-dimensional Schrodinger operator with polynomial potentials

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.

7 pages

Cited by in corpus (1)

• Commuting ordinary differential operators with polynomial coefficients and automorphisms of the first Weyl algebra