Some results on scattering matrix for multistate Schrödinger operators (Q2704053)

This proceedings contribution is a short presentation on results on the structure of the scattering matrix of \(2\times 2\) matrix valued Schrödinger operators in the semi-classical limit. The models considered are motivated by the Born-Oppenheimer approximation. The results presented are from joint work of \textit{V. Sordoni} and \textit{G. Nenciu} [On the time-dependent Born-Oppenheimer approximation with smooth potentials, e-Preprint http://rene.ma.utexas.edu/mp\_arc-bin/mpa?yn=01-37] and of \textit{A. Martinez, S. Nakamura} and \textit{V. Sordoni} [J. Funct. Anal. 191, No. 2, 297--317 (2002; Zbl 1002.35105)].NEWLINENEWLINEFor the entire collection see [Zbl 0958.00030].