Erratum: Relaxation of quantum systems weakly coupled to a bath. II. Formal analysis of the total-time-ordering-cumulant and partial-time-ordering-cumulant spectral line shapes

Given a quantum system of a few degrees of freedom in weak interaction with a bath, the expressions which connect its total-time-ordering-cumulant and partial-time-ordering-cumulant relaxation with the corresponding spectral line shapes of dipolar absorption are deduced. For simplicity we consider a system with a nondegenerate and nonequidistant energy spectrum. A special study in the cases of isolated resonances and of a weak interference effect between resonances is made.