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

AbstractWe 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