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

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We 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.
25 pages, 2 figures

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Analysis of PDEs, Mathematical Physics, 35B45; 35Q40; 76Y05; 81V70; 82C22

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http://salesiana.dossiersoluciones.com/handle/123456789/156973

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2322
 http://arxiv.org/abs/0803.2322

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arXiv