Generalized limiting absorption method and multidimensional inverse scattering theory

✍ Scribed by Ricardo Weder

• Publisher: John Wiley and Sons
• Year: 1991
• Tongue: English
• Weight: 716 KB
• Volume: 14
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1670140705

✦ Synopsis

Abstract

We generalize the classical limiting absorption method. This generalization is applied to the study of the Faddeev–Lippmann–Schwinger equations in the Faddeev–Newton approach to multidimensional inverse scattering theory. In particular, we give a new proof, under more general conditions than were known previously, of the absence of exceptional points for small potentials and large values of the parameters, and on the existence of real exceptional points if there are complex ones, in particular for potentials that produce negative eigenvalues.