×

Convergence of the Von-Neumann equation towards the quantum Boltzmann equation in a deterministic framework. (English. Abridged French version) Zbl 0930.35146

Summary: We prove the convergence of a periodic Von-Neumann equation with a damping term towards the quantum Boltzmann equation, when the perturbing potential is deterministic.

MSC:

35Q40 PDEs in connection with quantum mechanics
82C70 Transport processes in time-dependent statistical mechanics
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
PDFBibTeX XMLCite
Full Text: DOI