Time-dependent methods in inverse scattering problems for the Hartree-Fock equation

The major purpose of this paper is to establish a reconstruction procedure of two-body interactions from scattering solutions for a Hartree-Fock equation. We give a uniqueness theorem and propose a new reconstruction procedure of the short-range and two-body interactions from a high-velocity limit of the scattering operator for the Hartree-Fock equation. Moreover, it will be found that the high-velocity limit of the scattering operator is equal to a small-amplitude limit of the scattering operator. Published under license by AIP Publishing.