The Moutard transformation and two-dimensional multi-point delta-type potentials

Abstract

In the framework of the Moutard transformation formalism we find multi-point delta-type potentials of two-dimensional Schrodinger operators and their isospectral deformations on the zero energy level. In particular, these potentials are "reflectionless" in the sense of the Faddeev generalized "scattering" data.

4 pages

References in corpus (3)

• Two-dimensional rational solitons and their blow-up via the Moutard transformation
• Faddeev eigenfunctions for point potentials in two dimensions
• Faddeev eigenfunctions for two-dimensional Schrodinger operators via the Moutard transformation

Cited by in corpus (2)

• Moutard transform approach to generalized analytic functions with contour poles
• Darboux-Moutard transformations and Poincare-Steklov operators