Singular matrix Darboux transformations in the inverse scattering method
Quantum Physics
2015-05-27 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Singular Darboux transformations, in contrast to the conventional ones, have a singular matrix as a coefficient before the derivative. We incorporated such transformations into a chain of conventional transformations and presented determinant formulas for the resulting action of the chain. A determinant representation of the Kohlhoff-von Geramb solution to the Marchenko equation is given.
Keywords
Cite
@article{arxiv.1102.5255,
title = {Singular matrix Darboux transformations in the inverse scattering method},
author = {A. A. Pecheritsin and A. M. Pupasov and Boris F. Samsonov},
journal= {arXiv preprint arXiv:1102.5255},
year = {2015}
}
Comments
16 pages, 1 figure