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An approximate method for solving inverse scattering problem with fixed-energy phase shifts

A. G. Ramm·W. Scheid
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Abstract

An approximate method is proposed for the recovery of a compactly supported spherically-symmetric potential from the set of fixed-energy phase-shifts known for all angular momenta. The method reduces the inverse scattering problem to a moment problem which is solved numerically. The above reduction is done approximately and it is more accurate for larger angular momenta or for smaller potentials.

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A. G. Ramm, W. Scheid. 1999-11-28. An approximate method for solving inverse scattering problem with fixed-energy phase shifts. https://arxiv.org/abs/math-ph/9911045

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