Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation

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dc.creatorFroehlich, Juerg
dc.creatorLenzmann, Enno
dc.date2004-09-09
dc.date.accessioned2026-07-07T04:31:26Z
dc.date.available2026-07-07T04:31:26Z
dc.descriptionWe discuss the Hartree equation arising in the mean-field limit of large systems of bosons and explain its importance within the class of nonlinear Schroedinger equations. Of special interest to us is the Hartree equation with focusing nonlinearity (attractive two-body interactions). Rigorous results for the Hartree equation are presented concerning: 1) its derivation from the quantum theory of large systems of bosons, 2) existence and stability of Hartree solitons, and 3) its point-particle (Newtonian) limit. Some open problems are described.
dc.description27 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0409019
dc.identifierhttp://arxiv.org/abs/math-ph/0409019
dc.identifierSeminaire EDP, Ecole Polytechnique, 2003-2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57815
dc.subjectMathematical Physics
dc.titleMean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation
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