Green's function for an electron in one-dimensional conductor with finite correlation length of impurity potential

The scattering of electrons by impurities in one-dimensional conductor is treated as a result of their interaction with quantized fields, the excitons of which carry the quanta of electronic relaxation time or mean free path. The relaxation process is represented as a consequences of exchange of those quanta between the electrons and is shown to be affected by fluctuations of dissipative fields. The Green's function of electrons is calculated and the dependence of the full mean free path on the electronic energy and on the scattering parameters is discussed.