ON MULTIDIMENSIONAL INVERSE SCATTERING UNDER THE TIME-DEPENDENT STARK EFFECT

We study one of the multidimensional inverse scattering problems for quantum systems in time-dependent electric fields E (t), whose leading part is represented as E-0(1 + ItI()-mu) , with 0 <= mu < 1, by utilization of the Enss-Weder time-dependent method. In our previous work, we have dealt with the case where E (t) is a constant electric field. The present work is a continuation of that. The main purpose of this paper is to give an appropriate class of shortrange potentials determined by the Enss-Weder time-dependent method, which is considered almost optimal also in terms of direct scattering problems.