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

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.

References in corpus (1)

• Example of two different potentials which have practically the same fixed-energy phase shifts

Cited by in corpus (2)

• Inverse Scattering by the Stability Index Method
• Piecewise-constant potentials with practically the same fixed-energy phase shifts