English

Structure of the Short Range Amplitude for General Scattering Relations

Analysis of PDEs 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0411599,
  title  = {Structure of the Short Range Amplitude for General Scattering Relations},
  author = {Ivana Alexandrova},
  journal= {arXiv preprint arXiv:math/0411599},
  year   = {2007}
}

Comments

21 pages, 1 figure

R2 v1 2026-07-22T17:12:50.095Z