Structure of the short range amplitude for general scattering relations

Article type: Research Article

Authors: Alexandrova, Ivana

Affiliations: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3 E-mail: [email protected]

Note: [] Current address: Ivana Alexandrova, East Caroline University, Department of Mathematics, Greenville, NC 278585, USA. E-mail: [email protected].

Abstract: We consider scattering by short range perturbations of the semi-classical Laplacian. We prove that when a polynomial bound on the resolvent holds the scattering amplitude is a semi-classical Fourier integral operator associated to the scattering relation near a non-trapped ray. Compared to previous work, we allow the scattering relation to have more general structure.

Keywords: short range perturbations, scattering amplitude, scattering relation, semi-classical Fourier integral operators

Journal: Asymptotic Analysis, vol. 50, no. 1-2, pp. 13-30, 2006