  By constructing the Riemann surface controlling the resonance structure of
Winter model, we determine the limitations of perturbation theory. We then
derive explicit non-perturbative results for various observables in the
weak-coupling regime, in which the model has an infinite tower of long-lived
resonant states. The problem of constructing proper initial wavefunctions
coupled to single excitations of the model is also treated within perturbative
and non-perturbative methods.
