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 $n=3$.