P. Duclos,B. Meller
A SIMPLE MODEL FOR PREDISSOCIATION 
(45K, LATeX)

ABSTRACT.  We analyse a very simple class of one dimensional two by two matrix
Schr\"odinger operators. Their diagonal part has embedded eigenvalues in the 
continuous spectrum which become resonances when the off-diagonal part is turned
on. Our analysis is semiclassical and contains a regular perturbative calculus of these resonances, asymptotics of the Fermi rule contribution to the width of these as well as lower bounds on the corresponding life time.\par