Faddeev eigenfunctions for two-dimensional Schrodinger operators via the Moutard transformation
Mathematical Physics
2015-06-11 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We demonstrate how the Moutard transformation of two-dimensional Schrodinger operators acts on the Faddeev eigenfunctions on the zero energy level and present some explicitly computed examples of such eigenfunctions for smooth fast decaying potentials of operators with non-trivial kernel and for deformed potentials which correspond to blowing up solutions of the Novikov-Veselov equation.
Keywords
Cite
@article{arxiv.1208.4556,
title = {Faddeev eigenfunctions for two-dimensional Schrodinger operators via the Moutard transformation},
author = {I. A. Taimanov and S. P. Tsarev},
journal= {arXiv preprint arXiv:1208.4556},
year = {2015}
}
Comments
11 pages, final remarks are added