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Diffusive limits for a quantum transport model with a strong field. (English) Zbl 1278.82066

The paper is interesting and is done on a high theoretical level. The Equations (5.43) in Section (5.2) are of great interest, especially for the theory of differential equations (what type of equations they are, which boundary-value problems can be formulated for these equation and so on). These questions seem to be difficult to answer because definiteness of the matrices \(a_{ij}, b_{ij}\) is sufficiently complicated to study. Besides, a concrete practical example is needed.

MSC:

82D37 Statistical mechanics of semiconductors
82C70 Transport processes in time-dependent statistical mechanics
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