2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/20758We develop a new theoretical framework for describing steady-state quantum transport phenomena, based on the general maximum-entropy principle of non-equilibrium statistical mechanics. The general form of the many-body density matrix is derived, which contains the invariant part of the current operator that guarantees the non-equilibrium and steady-state character of the ensemble. Several examples of the theory are given, demonstrating the relationship of the present treatment to the widely-used scattering-states occupation schemes at the level of the self-consistent single-particle approximation.Mesoscale and Nanoscale PhysicsStatistical Mechanicstext