Inverse Scattering Problem for the Schr\"odinger Operator with a Separable Potential
数学物理
2007-05-23 v1 math.MP
摘要
We prove that the inverse scattering problem for the Schr\"odinger operator with the separable potential can be reduced to the solving of a certain singular integral equation. We establish the uniqueness of the potential corresponding to given scattering amplitude in the class of separable potentials.
引用
@article{arxiv.math-ph/0502032,
title = {Inverse Scattering Problem for the Schr\"odinger Operator with a Separable Potential},
author = {Yu. P. Chuburin},
journal= {arXiv preprint arXiv:math-ph/0502032},
year = {2007}
}
备注
9 pages, LaTeX2e