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

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arxiv 1103.6182 v3 pith:RK5J66HM submitted 2011-03-31 math-ph math.MP

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

classification math-ph math.MP
keywords potentialsscatteringhigh-velocityinversen-bodyquantumbelongingclass
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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