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Article Dans Une Revue Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Année : 2015

Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential

Résumé

We consider the quantum dynamics of many bosons systems in the mean field limit with a singular pair-interaction potential, including the attractive or repulsive Coulombic case in three dimensions. By using a measure transportation technique, we show that Wigner measures propagate along the nonlinear Hartree flow. Such property was previously proved only for bounded potentials in our previous works with a slightly different strategy.
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Dates et versions

hal-00644656 , version 1 (24-11-2011)
hal-00644656 , version 2 (25-06-2014)

Identifiants

Citer

Zied Ammari, Francis Nier. Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2015, XIV (1), pp.155-220. ⟨10.2422/2036-2145.201112_004⟩. ⟨hal-00644656v2⟩
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