Elements of nonequilibrium (h{stroke}, k) dynamics at zero and finite temperatures

A method for the development of elements of nonequilibrium (h{stroke}, k) dynamics without the use of the Schrödinger equation is proposed. This method is based on the generalization of the Fokker-Planck and Hamilton-Jacoby equations by the successive account of the stochastic action of vacuum (quantum thermostat). It is shown that nonequilibrium wave functions in the presence of quantum-thermal diffusion in vacuum describe the approximation to the state of generalized thermal equilibrium both at zero and finite temperatures. They can be used as the basis for a universal description of transport processes. © 2011 Pleiades Publishing, Ltd.