Abstract
Irreversible quantum dynamics is reviewed by means of projected resolvents and effective Hamiltonians. It is shown that for a particular partition the dynamical equations are formally identical to the generalized Langevin equation of non-equilibrium statistical mechanics. Three model applications underline the fundamental role played by fluctuations to study line profiles in spectroscopy and to discuss the relationship between fluctuation and dissipation. A new expression of the parameter q characterizing Fano profiles is presented.
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