Semiclassical scattering amplitude at the maximum point of the potential
Analysis of PDEs
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We compute the scattering amplitude for Schr\"odinger operators at a critical energy level, corresponding to the maximum point of the potential. We follow the wrok of Robert and Tamura, '89, using Isozaki and Kitada's representation formula for the scattering amplitude, together with results from Bony, Fujiie, Ramond and Zerzeri '06 in order to analyze the contribution of trapped trajectories.
Keywords
Cite
@article{arxiv.0704.1632,
title = {Semiclassical scattering amplitude at the maximum point of the potential},
author = {Ivana Alexandrova and Jean-Francois Bony and Thierry Ramond},
journal= {arXiv preprint arXiv:0704.1632},
year = {2007}
}
Comments
62 pages, 2 figures