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On a method for solving the inverse problem in potential scattering

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Abstract

A method for solving the inverse problem in the non-relativistic elastic scattering theory, using the analytic and asymptotic properties of the scattering amplitude is proposed and the influence of the discontinuity parameters of the scattering amplitude on the properties of the resulting potentials is discussed. The case with spherically symmetric forces and without bound states is considered. The possibility for solving the inverse problem by this method, leading to the singular repulsive potentials is mentioned.

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  1. ČSAV Fyzikálny ústav SAV, Bratislava, Czechoslovakia

    M. Blažek

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  1. M. Blažek
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Blažek, M. On a method for solving the inverse problem in potential scattering. Commun.Math. Phys. 3, 282–291 (1966). https://doi.org/10.1007/BF01649525

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