Summary: Asymptotic Analysis 58 (2008) 57­125 57
DOI 10.3233/ASY-2008-0877
IOS Press
Semiclassical scattering amplitude at the
maximum of the potential
Ivana Alexandrova a
, Jean-François Bony b
and Thierry Ramond c
a
Department of Mathematics, East Carolina University, Greenville, NC 27858, USA
E-mail: alexandrovai@ecu.edu
b
Institut de Mathématiques de Bordeaux (UMR CNRS 5251), Université de Bordeaux I,
33405 Talence, France
E-mail: bony@math.u-bordeaux1.fr
c
Mathématiques, Université Paris Sud (UMR CNRS 8628), 91405 Orsay, France
E-mail: thierry.ramond@math.u-psud.fr
Abstract. We study the scattering amplitude for Schrödinger operators at a critical energy level, which is a unique non-
degenerate maximum of the potential. We do not assume that the maximum point is non-resonant and use results by Bony,

Source: Alexandrova, Ivana - Department of Mathematics and Statistics, State University of New York at Albany
Alexandrova, Ivana - Department of Mathematics, East Carolina University

Collections: Mathematics