On nonsingular potentials of Cox-Thompson inversion scheme
Mathematical Physics
2011-11-28 v1 Classical Analysis and ODEs
math.MP
Quantum Physics
Abstract
We establish a condition for obtaining nonsingular potentials using the Cox-Thompson inverse scattering method with one phase shift. The anomalous singularities of the potentials are avoided by maintaining unique solutions of the underlying Regge-Newton integral equation for the transformation kernel. As a by-product, new inequality sequences of zeros of Bessel functions are discovered.
Keywords
Cite
@article{arxiv.1111.6029,
title = {On nonsingular potentials of Cox-Thompson inversion scheme},
author = {Tamas Palmai and Barnabas Apagyi},
journal= {arXiv preprint arXiv:1111.6029},
year = {2011}
}
Comments
8 pages, 3 figures