On nonsingular potentials of Cox-Thompson inversion scheme

Details On nonsingular potentials of Cox-Thompson inversion scheme On nonsingular potentials of Cox-Thompson inversion scheme

2011-11-25

arxiv.org/abs/1111.6029v1

J. Math. Phys. 51, 022114 (2010)

Physics

Mathematical Physics

8 pages, 3 figures

Scientific paper

10.1063/1.3282849

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.

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