King C., Waxler R.
Resonant Decay Near Accumulation Points
(47K, TeX)
ABSTRACT. We consider the quantum mechanics of a model system
in which meta-stable states arise through perturbation
of a sequence of embedded eigenvalues with an embedded
accumulation point. It is shown that the embedded
eigenvalues become resonances in the perturbed system.
The resonances also accumulate, and the position of the
accumulation point is unchanged. The positions of the
resonances are estimated uniformly up to the accumulation
point. The meta-stable states associated with these resonances
have the usual approximately exponential decay with time.