MULTIDIMENSIONAL INVERSE SCATTERING IN AN ELECTRIC-FIELD

We prove that the high velocity limit of the scattering operator of a two-body system in an external constant electric field determines uniq uely the potential. In the case of an N-body system we prove that the high velocity limit of any one of the Dollard scattering operators det ermines uniquely the potential. Furthermore, we obtain a formula with error term for the reconstruction of the potential. We prove our resul ts with a simple time-dependent method. (C) 1996 Academic Press, Inc.