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Semi‐classical limit of the scattering amplitude for trapping perturbations

Article type: Research Article

Authors: Michel, Laurent

Affiliations: Département de mathématiques appliquées, Université Bordeaux I, 351, Cours de la Libération, 33405 Talence, France E‐mail: [email protected]‐bordeaux.fr

Abstract: We study the semi‐classical asymptotic as h→0 of the scattering amplitude f(θ,ω,λ,h) associated to a Schrödinger operator H(h)=−½h2Δ+V(x) for short‐range trapping perturbations. Our main result yields the leading term of the integral of f(θ,ω,λ,h) for θ,ω∈Sn−1 fixed and λ∈[λ0−ε,λ0+ε], ε>0, λ0>0, being a trapping energy level.

Journal: Asymptotic Analysis, vol. 32, no. 3-4, pp. 221-255, 2002

Published: 2002
Price: EUR 27.50
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