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High energy asymptotics of the scattering amplitude for the Schrödinger equation
Authors:D Yafaev
Institution:(1) Department of Mathematics, University Rennes-1, Campus Beaulieu, 35042 Rennes, France
Abstract:We find an explicit function approximating at high energies the kernel of the scattering matrix with arbitrary accuracy. Moreover, the same function gives all diagonal singularities of the kernel of the scattering matrix in the angular variables. This paper is dedicated to Jean-Michel Combes on the occasion of his sixtieth birthday.
Keywords:Scattering matrix  asymptotic expansion  high energy  diagonal singularity
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