Mathematical Problems in Mechanics/Mathematical Physics
Binary quantum collision operators conserving mass momentum and energy
[Opérateurs de collisions quantiques conservant la masse, l'impulsion et l'énergie]

Présenté par : Philippe G. Ciarlet

Degond, Pierre1 ; Ringhofer, Christian2
1 MIP (UMR CNRS 5640), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 4, France
2 Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA
Comptes Rendus. Mathématique, Tome 336 (2003) no. 9, pp. 785-790.

Dans cette Note, nous généralisons l'opérateur de collision de Boltzmann modélisant les collisions binaires particule–particule au cadre quantique, en utilisant un principe non-local de minimisation d'entropie quantique.

In this Note, we generalize the Boltzmann collision operator modeling binary particle–particle collisions to a quantum framework using nonlocal quantum entropy principles.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00185-7
Degond, Pierre 1 ; Ringhofer, Christian 2

1 MIP (UMR CNRS 5640), Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse cedex 4, France
2 Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804, USA 
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Degond, Pierre; Ringhofer, Christian. Binary quantum collision operators conserving mass momentum and energy. Comptes Rendus. Mathématique, Tome 336 (2003) no. 9, pp. 785-790. doi : 10.1016/S1631-073X(03)00185-7. http://archive.numdam.org/articles/10.1016/S1631-073X(03)00185-7/

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