Multidimensional Inverse Scattering in an Electric Field

✍ Scribed by Ricardo Weder

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 788 KB
• Volume: 139
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1996.0092

✦ Synopsis

We prove that the high velocity limit of the scattering operator of a two-body system in an external constant electric field determines uniquely the potential. In the case of an N-body system we prove that the high velocity limit of any one of the Dollard scattering operators determines uniquely the potential. Furthermore, we obtain a formula with error term for the reconstruction of the potential. We prove our results with a simple time-dependent method.