Fujiie S., Ramond T.
Scattering matrix and resonances associated with a heteroclinic orbit.
(251K, Postscript, gzipped, uuencoded)

ABSTRACT.  We study the semiclassical resonances for a 1 dimensional Schr\"odinger
equation when the potential  presents exactly two maxima of the same level
on the real axis. We compute the  asymptotic expansion of the scattering
matrix in the semiclassical regime, for energies $E$ which may depend on
$h$ in a complex vicinity of the critical level. Quantization conditions
are obtained for the resonances, and we describe very precisely their
location.