On eigenfunctions of one-dimensional Schrodinger operator with   polynomial potentials
  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. 
Andrey E. Mironov, Bayan T. Saparbaeva
math-ph math.MP math.SP nlin.SI