The inverse scattering problem at fixed energy based on the Marchenko equation for an auxiliary Sturm-Liouville operator
Mathematical Physics
2013-05-27 v1 math.MP
Quantum Physics
Abstract
A new approach is proposed to the solution of the quantum mechanical inverse scattering problem at fixed energy. The method relates the fixed energy phase shifts to those arising in an auxiliary Sturm-Liouville problem via the interpolation theory of the Weyl-Titchmarsh m-function. Then a Marchenko equation is solved to obtain the potential.
Keywords
Cite
@article{arxiv.1205.0460,
title = {The inverse scattering problem at fixed energy based on the Marchenko equation for an auxiliary Sturm-Liouville operator},
author = {Tamas Palmai and Barnabas Apagyi},
journal= {arXiv preprint arXiv:1205.0460},
year = {2013}
}
Comments
6 pages, 8 eps figures