A Landauer transport formulation with inelastic scattering
  The Landauer transport formulation is generalized to the case of a dynamic scatterer with an arbitrary energy level structure, weakly coupled to a long ideal noninteracting wire.   The two-terminal linear conductance of the device is expressed in terms of the (in general inelastic) scattering cross sections of the electrons off the scatterer, using a Fermi-liquid picture for the scattering states of the whole system. Assuming unitarity, i.e. the optical theorem, we obtain the same results from a Kubo linear response treatment and from a Keldysh technique approach. 
Yoseph Imry, Ora Entin-Wohlman and Amnon Aharony