Stationary scattering in the semi-classical limit for a Schrodinger operator in a gauge field

Authors
Brummelhuis, R Levy-Bruhl, P Nourrigat, J
Citation
R. Brummelhuis et al., Stationary scattering in the semi-classical limit for a Schrodinger operator in a gauge field, J FUNCT ANA, 165(2), 1999, pp. 347-389
Citations number
29
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
165
Issue
2
Year of publication
1999
Pages
347 - 389
Database
ISI
SICI code
0022-1236(19990710)165:2<347:SSITSL>2.0.ZU;2-O
Abstract
We study the classical limit of the stationary scattering theory for a Schr odinger operator in a compactly supported gauge field. We show that, under suitable hypotheses on the associated classical flow, the scattering amplit ude has a complete asymptotic expansion in the semi-classical parameter, an d we determine the main term of this expansion. (C) 1999 Academic Press.