Stationary Scattering in the Semi-classical Limit for a Schrödinger Operator in a Gauge Field

✍ Scribed by R. Brummelhuis; P. Levy-Bruhl; J. Nourrigat

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 296 KB
• Volume: 165
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1999.3416

✦ Synopsis

We study the classical limit of the stationary scattering theory for a Schro dinger operator in a compactly supported gauge field. We show that, under suitable hypotheses on the associated classical flow, the scattering amplitude has a complete asymptotic expansion in the semi-classical parameter, and we determine the main term of this expansion.