Gaz de bosons dans le régime de champ moyen : les théories de Hartree et Bogoliubov

Mathieu Lewin

doi:10.5802/slsedp.33

Gaz de bosons dans le régime de champ moyen : les théories de Hartree et Bogoliubov

Mathieu Lewin ¹

¹ CNRS & Université de Cergy-Pontoise (UMR 8088) 95000 Cergy-Pontoise France

Séminaire Laurent Schwartz — EDP et applications (2012-2013), Talk no. 3, 22 p.

Abstract

Nous étudions le spectre du Hamiltonien d’un gaz de bosons, à la limite d’un grand nombre $N$ de particules et dans le régime de champ moyen (l’interaction est multipliée par $1 / N$ ). Le premier terme du développement est donné par le modèle non linéaire de Hartree, alors que le second terme est donné par la théorie de Bogoliubov.

DOI: 10.5802/slsedp.33

Author's affiliations:

Mathieu Lewin ¹

¹ CNRS & Université de Cergy-Pontoise (UMR 8088) 95000 Cergy-Pontoise France

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Mathieu Lewin. Gaz de bosons dans le régime de champ moyen : les théories de Hartree et Bogoliubov. Séminaire Laurent Schwartz — EDP et applications (2012-2013), Talk no. 3, 22 p. doi : 10.5802/slsedp.33. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.33/

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