Apriori Estimates for Many-Body Hamiltonian Evolution of Interacting Boson System

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dc.creatorGrillakis, Manoussos G.
dc.creatorMargetis, Dionisios
dc.date2008-03-15
dc.date.accessioned2026-07-07T09:27:04Z
dc.date.available2026-07-07T09:27:04Z
dc.descriptionWe study the evolution of a many-particle system whose wave function obeys the N-body Schroedinger equation under Bose symmetry. The system Hamiltonian describes pairwise particle interactions in the absence of an external potential. We derive apriori dispersive estimates that express the overall repulsive nature of the particle interactions. These estimates hold for a wide class of two-body interaction potentials which are independent of the particle number, N. We discuss applications of these estimates to the BBGKY hierarchy for reduced density matrices analyzed by Elgart, Erdos, Schlein and Yau.
dc.description25 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0803.2322
dc.identifierhttp://arxiv.org/abs/0803.2322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156973
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35B45; 35Q40; 76Y05; 81V70; 82C22
dc.titleApriori Estimates for Many-Body Hamiltonian Evolution of Interacting Boson System
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