English

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

Mathematical Physics 2015-06-16 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1307.5084,
  title  = {The Moutard transformation and two-dimensional multi-point delta-type potentials},
  author = {R. G. Novikov and I. A. Taimanov},
  journal= {arXiv preprint arXiv:1307.5084},
  year   = {2015}
}

Comments

4 pages

R2 v1 2026-06-22T00:54:03.126Z