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

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

1999-11-28

arxiv.org/abs/math-ph/9911045v1

Jour of Inverse and Ill-posed Probl., 7, N6, (1999), 561-571

Physics

Mathematical Physics

Scientific paper

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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