Structure of the Short Range Amplitude for General Scattering Relations

2004/11/26 by Ivana Alexandrova, Alexandrova, Ivana
Mathematics · #35P25 #35S30 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35P25 #msc:35S30

paper · pdf · doi:10.48550/arxiv.math/0411599

21 pages, 1 figure

arxiv created 2004/11/26 · arxiv updated 2009/12/01

Abstract

We consider scattering by short range perturbations of the semi-classical Laplacian. We prove that when a polynomial bound on the resolvent holds, the scattering amplitude is a semi-classical Fourier integral operator associated to the scattering relation. Compared to previous work, we allow the scattering relation to have more general structure.

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