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

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

We study the classical limit of the stationary scattering theory for a Schrödinger 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, an...

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Veröffentlicht in:Journal of functional analysis 1999-07, Vol.165 (2), p.347-389
Hauptverfasser: Brummelhuis, R., Levy-Bruhl, P., Nourrigat, J.
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the classical limit of the stationary scattering theory for a Schrödinger 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.
ISSN:0022-1236
1096-0783
DOI:10.1006/jfan.1999.3416