Scattering solutions and Born approximation for the magnetic Schr\"odinger operator
Mathematical Physics
2013-03-25 v1 math.MP
Abstract
We prove the existence of scattering solutions for multidimensional magnetic Schr\"odinger equation which belong to the weighted Sobolev space H^1_s (R^n)(n=2,3) with some s < -1/2. As a consequence of this we formulate the direct Born approximation for the magnetic Schr\"odinger operator. Possible connections with inverse problems (inverse scattering Born approximation) are discussed.
Cite
@article{arxiv.1303.5594,
title = {Scattering solutions and Born approximation for the magnetic Schr\"odinger operator},
author = {Valery Serov and Jan Sandhu},
journal= {arXiv preprint arXiv:1303.5594},
year = {2013}
}
Comments
20 pages