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A stationary approach to inverse scattering for schrodinger operators with first order perturbation
Authors:Nicoleau Francois
Affiliation:Département de Mathématiques , 2, rue de la Houssiniére, Nantes cedex 03, BP 92208, 44322, France E-mail: nicoleau@math.univ-nantes.fr
Abstract:In this paper, we study the inverse scattering of Schrodinger operators with short-range (resp. long-range) electric and magnetic potentials. We develop a stationary approach to determine the high energy asymptotics of the scattering operator (resp. modified scattering operator). As a corollary, we show that the electric potential and the magnetic field are uniquely determined by the first two terms of this asymptotic expansion.
Keywords:
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