On central configurations.
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On integration of the differential equation of central motion, I
Eugene Leimanis (1982)
Rendiconti del Seminario Matematico della Università di Padova
On the derivation of a quantum Boltzmann equation from the periodic Von-Neumann equation
François Castella (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
On the derivation of a quantum Boltzmann equation from the periodic Von-Neumann equation
François Castella (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We present the semi-conductor Boltzmann equation, which is time-reversible, and indicate that it can be formally derived by considering the large time and small perturbing potential limit in the Von-Neumann equation (time-reversible). We then rigorously compute the corresponding asymptotics in the case of the Von-Neumann equation on the Torus. We show that the limiting equation we obtain does not coincide with the physically realistic model. The former is indeed an equation of Boltzmann type, yet...
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