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Title: On nonsingular potentials of Cox-Thompson inversion scheme

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3282849· OSTI ID:21335907
;  [1]
  1. Department of Theoretical Physics, Budapest University of Technology and Economics, H-1111 Budapest (Hungary)

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.

OSTI ID:
21335907
Journal Information:
Journal of Mathematical Physics, Vol. 51, Issue 2; Other Information: DOI: 10.1063/1.3282849; (c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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