Inverse Scattering at a Fixed Energy for Long-Range Potentials
Weder, Ricardo ; Yafaev, Dimitri
arXiv, 0610016 / Harvested from arXiv
Text on arXiv
In this paper we consider the inverse scattering problem at a fixed energy for the Schr\"odinger equation with a long-range potential in $\ere^d, d\geq 3$. We prove that the long-range part can be uniquely reconstructed from the leading forward singularity of the scattering amplitude at some positive energy.
Publié le : 2006-10-08
Classification:  Mathematical Physics,  Mathematics - Analysis of PDEs,  81U40,  35P25,  35Q40,  35R30 
@article{0610016,
     author = {Weder, Ricardo and Yafaev, Dimitri},
     title = {Inverse Scattering at a Fixed Energy for Long-Range Potentials},
     journal = {arXiv},
     volume = {2006},
     number = {0},
     year = {2006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0610016}
}

Weder, Ricardo; Yafaev, Dimitri. Inverse Scattering at a Fixed Energy for Long-Range Potentials. arXiv, Tome 2006 (2006) no. 0, . http://gdmltest.u-ga.fr/item/0610016/