Mean Field Limit for Bosons and Infinite Dimensional Phase-Space Analysis |
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Authors: | Zied Ammari Francis Nier |
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Affiliation: | (1) Department of Mathematics, Université de Cergy-Pontoise, UMR-CNRS 8088, 2, avenue Adolphe Chauvin, F-95302 Cergy-Pontoise Cedex, France;(2) IRMAR, UMR-CNRS 6625, Université de Rennes I, Campus de Beaulieu, F-35042 Rennes Cedex, France |
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Abstract: | 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. Submitted: January 1, 2008., Accepted: July 1, 2008. |
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