Quantum Fluctuations and Rate of Convergence towards Mean Field Dynamics

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dc.creatorRodnianski, Igor
dc.creatorSchlein, Benjamin
dc.date2007-11-20
dc.date.accessioned2026-07-07T08:43:58Z
dc.date.available2026-07-07T08:43:58Z
dc.descriptionThe nonlinear Hartree equation describes the macroscopic dynamics of initially factorized N-boson states, in the limit of large N. In this paper we provide estimates on the rate of convergence of the microscopic quantum mechanical evolution towards the limiting Hartree dynamics. More precisely, we prove bounds on the difference between the one-particle density associated with the solution of the N-body Schroedinger equation and the orthogonal projection onto the solution of the Hartree equation.
dc.descriptionlatex file, 29 pages
dc.identifierhttps://arxiv.org/abs/0711.3087
dc.identifierhttp://arxiv.org/abs/0711.3087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142500
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject82C10, 81V70, 35Q40, 35Q55
dc.titleQuantum Fluctuations and Rate of Convergence towards Mean Field Dynamics
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