On The Weak-Coupling Limit for Bosons and Fermions

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dc.creatorBenedetto, Dario
dc.creatorCastella, François
dc.creatorEsposito, Raffaele
dc.creatorPulvirenti, M.
dc.date2005-03-16
dc.date.accessioned2026-07-07T05:17:59Z
dc.date.available2026-07-07T05:17:59Z
dc.descriptionIn this paper we consider a large system of Bosons or Fermions. We start with an initial datum which is compatible with the Bose-Einstein, respectively Fermi-Dirac, statistics. We let the system of interacting particles evolve in a weak-coupling regime. We show that, in the limit, and up to the second order in the potential, the perturbative expansion expressing the value of the one-particle Wigner function at time $t$, agrees with the analogous expansion for the solution to the Uehling-Uhlenbeck equation. This paper follows in spirit the companion work [\rcite{BCEP}], where the authors investigated the weak-coupling limit for particles obeying the Maxwell-Boltzmann statistics: here, they proved a (much stronger) convergence result towards the solution of the Boltzmann equation.
dc.identifierhttps://arxiv.org/abs/math/0503319
dc.identifierhttp://arxiv.org/abs/math/0503319
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74509
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35J05 ; 35B40 ; 35C20 ; 78A40 ; 81F30
dc.titleOn The Weak-Coupling Limit for Bosons and Fermions
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