Structure of the Short Range Amplitude for General Scattering Relations

Details Structure of the Short Range Amplitude for General Scattering Relations Structure of the Short Range Amplitude for General Scattering Relations

2004-11-26

arxiv.org/abs/math/0411599v1

Mathematics

Analysis of PDEs

21 pages, 1 figure

Scientific paper

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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