This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once these asymptotic objects are well defined, it is shown how they can be used to make connections between different kinds of results or to prove new ones.
Publié le : 2008-11-18
Classification:
Hartree equation,
Mean field limit,
bosonic QFT,
Wigner measure,
Hartree equation.,
81S30, 81S05, 81T10, 35Q55,
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
@article{hal-00192156,
author = {Ammari, Zied and Nier, Francis},
title = {Mean field limit for bosons and infinite dimensional phase-space analysis},
journal = {HAL},
volume = {2008},
number = {0},
year = {2008},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00192156}
}
Ammari, Zied; Nier, Francis. Mean field limit for bosons and infinite dimensional phase-space analysis. HAL, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/hal-00192156/