English

Creation and annihilation of point-potentials using Moutard-type transform in spectral variable

Mathematical Physics 2019-11-22 v1 Complex Variables math.MP

Abstract

We continue to develop the method for creation and annihilation of contour singularities in the ˉ\bar\partial--spectral data for the two-dimensional Schr\"odinger equation at fixed energy. Our method is based on the Moutard-type transforms for generalized analytic functions. In this note we show that this approach successfully works for point potentials.

Keywords

Cite

@article{arxiv.1911.09627,
  title  = {Creation and annihilation of point-potentials using Moutard-type transform in spectral variable},
  author = {P. G. Grinevich and R. G. Novikov},
  journal= {arXiv preprint arXiv:1911.09627},
  year   = {2019}
}

Comments

Latex, 15 pages

R2 v1 2026-06-23T12:23:40.735Z