Abstract

We study the semi-classical behavior when h→0, of the residues of the scattering amplitude associated to the Schrödinger operator P( h)=− h 2Δ+ V( x) for long-range perturbations V( x). For resonances close to the real axis and under a separation condition, we give an estimate of each residue in terms of the parameter h and the imaginary part of the resonance. To cite this article: L. Michel, C. R. Acad. Sci. Paris, Ser. I 336 (2003).

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