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In this paper we consider the inverse scattering problem for theSchr{\"o}dinger operator with short-range electric potential. We prove indimension n $\geq$ 2 that the knowledge of the scattering operator determinesthe electric potential and we establish H{\"o}lder-type stability indetermining the short range electric potential.

Stability estimate in the inverse scattering for a single quantum particle in an external short-range potential