Faddeev eigenfunctions for two-dimensional Schrodinger operators via the Moutard transformation

摘要

We demonstrate how the Moutard transformation of two-dimensional Schrodingeroperators acts on the Faddeev eigenfunctions on the zero energy level andpresent some explicitly computed examples of such eigenfunctions for smoothfast decaying potentials of operators with non-trivial kernel and for deformedpotentials which correspond to blowing up solutions of the Novikov-Veselovequation.