Mean field limit for bosons with compact kernels interactions by Wigner measures transportation | Zendy

Quentin Liard | Zendy; Boris Pawilowski | Zendy

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Mean field limit for bosons with compact kernels interactions by Wigner measures transportation

Author(s) -

Quentin Liard,

Boris Pawilowski

Publication year - 2014

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.4895467

Subject(s) - boson , limit (mathematics) , physics , classical limit , mathematical physics , field (mathematics) , wigner distribution function , quantum mechanics , quantum , mathematics , mathematical analysis , pure mathematics

27 pages. arXiv admin note: text overlap with arXiv:1111.5918 by other authorsWe consider a class of many-body Hamiltonians composed of a free (kinetic) part and a multi-particle (potential) interaction with a compactness assumption on the latter part. We investigate the mean field limit of such quantum systems following the Wigner measures approach. We prove the propagation of these measures along the flow of a nonlinear (Hartree) field equation. This enhances and complements some previous results in the subject

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