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

Physics – Mathematical Physics

Scientific paper

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In this revised version we present more general results that include long-range potentials

Scientific paper

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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