On nonsingular potentials of Cox-Thompson inversion scheme

Tamas Palmai; Barnabas Apagyi

doi:10.1063/1.3282849

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arXiv · 1111.6029

On nonsingular potentials of Cox-Thompson inversion scheme

Tamas Palmai·Barnabas Apagyi

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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.

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Tamas Palmai, Barnabas Apagyi. 2011-11-25. On nonsingular potentials of Cox-Thompson inversion scheme. https://doi.org/10.1063/1.3282849

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