An inverse problem related to channel scattering operators

Article type: Research Article

Authors: Wang, X.P.

Affiliations: Département de Mathématiques, UMR 6629 du CNRS, Université de Nantes, 2, rue de la Houssinière, 44322 Nantes Cedex 3, France E‐mail: [email protected]‐nantes.fr

Abstract: In this paper, we study the inverse scattering related to a channel scattering operator S_{\alpha\beta} in N‐body problems. Given the incoming and outgoing channels \alpha, \beta associated with a same, but arbitary cluster decomposition, a, of the N‐body system, we prove that all effective interactions between the mass‐centers of the clusters in a can be reconstructed from the high energy asymptotics of scattering matrices S_{\alpha\beta}(\lambda).

Journal: Asymptotic Analysis, vol. 18, no. 1-2, pp. 147-164, 1998