Having analyzed the role of time-ordering boundary conditions in deriving irreversible kinetic equation a general irreversible Liouville equation is proposed. By this equation a variety of irreversible kinetic equations, such as a stochastic diffusion equation, a irreversible project Liouville...

A generalized Kubo formula for a mesoscopic system is derived describing the conductivity, subject to an (not weak) external electric field, and shown to be expressible in the Landauer–Büttiker form. Using this approach the electrical conductivity of a quantum dot point-contact was expressed...

We study several kinetic equations for quantum information density (QID) based on the classical dynamical statistical information theory (Trans. Beijing Inst. Technol. 24 (2004) 1; Acta Phys. Scinica 53 (2004) 2852). We find that the Liouville equation, SKE and quantum Fokker–Planck equation...