Small-energy analysis for the selfadjoint matrix Schroedinger operator on the half line. II
Abstract
The matrix Schroedinger equation with a selfadjoint matrix potential is considered on the half line with the most general selfadjoint boundary condition at the origin. When the matrix potential is integrable and has a second moment, it is shown that the corresponding scattering matrix is differentiable at zero energy. An explicit formula is provided for the derivative of the scattering matrix at zero energy. The previously established results when the potential has only the first moment are improved when the second moment exists, by presenting the small-energy asymptotics for the related Jost matrix, its inverse, and various other quantities relevantc to the corresponding direct and inverse scattering problems.
Keywords
Cite
@article{arxiv.1310.4809,
title = {Small-energy analysis for the selfadjoint matrix Schroedinger operator on the half line. II},
author = {Tuncay Aktosun and Martin Klaus and Ricardo Weder},
journal= {arXiv preprint arXiv:1310.4809},
year = {2014}
}
Comments
This published version has been edited to improve the presentation of the results