Small-Energy Analysis for the Selfadjoint Matrix Schroedinger Operator on the Half Line
Mathematical Physics
2015-05-28 v2 math.MP
Quantum Physics
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 first moment, it is shown that the corresponding scattering matrix is continuous at zero energy. An explicit formula is provided for the scattering matrix at zero energy. The small-energy asymptotics are established also for the corresponding Jost matrix, its inverse, and various other quantities relevant to the corresponding direct and inverse scattering problems.
Cite
@article{arxiv.1105.1794,
title = {Small-Energy Analysis for the Selfadjoint Matrix Schroedinger Operator on the Half Line},
author = {Tuncay Aktosun and Martin Klaus and Ricardo Weder},
journal= {arXiv preprint arXiv:1105.1794},
year = {2015}
}
Comments
This published version has been edited to improve the presentation of the results