L Nedelec
Existence of resonances for matrix schrodinger operators
(348K, ps)
ABSTRACT. We study the resonances of matrix Schr\"odinger operators, in the
semi-classical limit, motivated
by the Born-Oppen\-heimer approximation. Precisely, we are interested
in a lower bound on the number
of resonances near a point. We obtain the lower bound $C h^{-1}|\ln h|^{-\frac 3 2}$ for $n=3$.