Solution of the Quantum Boltzmann Equation in Linear Transport

Abstract

The one-dimensional quantum Boltzmann equation in linear transport approximation was solved using the nonequilibrium Green's function method, and based on the lifetime approximation. As an example, the effect of interactions with electric fields were included, and the thermoelectric power coefficient (α) was evaluated, based on calculations of the statistical density current in a stationary regime over the nonequilibrium distribution function, and by the Green's function method. Results are compared in order to explore the advantages of each one, in evaluating the other kinetic transport coefficients.