Binary quantum collision operators conserving mass momentum and energy

Pierre Degond; Christian Ringhofer

doi:10.1016/S1631-073X(03)00185-7

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

Pierre Degond ¹ ; Christian Ringhofer 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

Comptes Rendus. Mathématique, Volume 336 (2003) no. 9, pp. 785-790.

Résumé
Abstract

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 : 2003-03-12
Accepté le : 2003-03-12
Publié le : 2003-04-30

DOI : 10.1016/S1631-073X(03)00185-7

Affiliations des auteurs :

Pierre Degond ¹ ; Christian Ringhofer 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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     author = {Pierre Degond and Christian Ringhofer},
     title = {Binary quantum collision operators conserving mass momentum and energy},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {785--790},
     publisher = {Elsevier},
     volume = {336},
     number = {9},
     year = {2003},
     doi = {10.1016/S1631-073X(03)00185-7},
     language = {en},
}

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Pierre Degond; Christian Ringhofer. Binary quantum collision operators conserving mass momentum and energy. Comptes Rendus. Mathématique, Volume 336 (2003) no. 9, pp. 785-790. doi : 10.1016/S1631-073X(03)00185-7. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00185-7/

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