A short review on the derivation of the nonlinear quantum Boltzmann equations

Dario Benedetto; François Castella; Raffaele Esposito; Mario Pulvirenti

hal-00364532, version 1

A short review on the derivation of the nonlinear quantum Boltzmann equations

Dario Benedetto ¹, François Castella () ², Raffaele Esposito ³, Mario Pulvirenti () ⁴

Communications in Mathematical Sciences 5, suppl. 5 (2007) 55-71

Abstract: In this review paper we describe the problem of deriving a Boltzmann equation for a system of N interacting quantum particles, under the appropriate scaling limits. We mainly follow the approach developed by the authors in previous works. From a rigorous viewpoint, only partial results are available, even for short times, so that the complete problem is still open.

1: Dipartimento di Matematica "Guido Castelnuovo" [Roma I]
Universita di Roma "La Sapienza"
2: Institut de Recherche Mathématique de Rennes (IRMAR)
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne
3: Dipartimento di Matematica Pura e Applicata
University of L'Aquila
4: Sapienza Università di Roma
dipartimento di matematica

hal-00364532, version 1
http://hal.archives-ouvertes.fr/hal-00364532
oai:hal.archives-ouvertes.fr:hal-00364532
From: Dominique Hervé <>
Submitted on: Thursday, 26 February 2009 15:02:46
Updated on: Friday, 19 March 2010 13:39:03

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