High-Velocity Estimates and Inverse Scattering for Quantum N-Body Systems with Stark Effect

preprint2012arXivOpen access

Abstract

In an N-body quantum system with a constant electric field, by inverse scattering, we uniquely reconstruct pair potentials, belonging to the optimal class of short-range potentials and long-range potentials, from the high-velocity limit of the Dollard scattering operator. We give a reconstruction formula with an error term.

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