Quantum theory of dissipative processes nonequilibrium thermodynamics

I. Prigogine

Gian Paolo Beretta

Zhedong Zhang

Ferenc Márkus, Katalin Gambár

Following the method of classical mechanics, we calculate the action for Fourier heat conduction from the classical Hamilton-Jacobi equation. We can write a Schrödinger-type equation and we obtain its solution, the kernel by which we may introduce a kind of wave function. Mathematically, we follow Bohm's method introduced to quantum mechanics. The generalized Hamilton-Jacobi equation-which may be handled as a quantum-thermodynamical form-can be calculated. Irreversibility and dissipation are included in a natural way in the field theory of nonequilibrium thermodynamics, so in this way we obtain a quantum-thermodynamical approach of simple dissipative processes.

Gyula Vincze, András Szász

We describe the linearly damped harmonic quantum oscillator in Heisenberg's interpretation by Onsager's thermodynamic equations.Ehrenfest's theorem is also discussed in this framework.We have also shown that the quantum mechanics of the dissipative processes exponentially decay to classical statistical theory.

Ilya Prigogine