08-235 Thomas Chen and Natasa Pavlovic
The quintic NLS as the mean field limit of a Boson gas with three-body interactions (375K, AMS Latex) Dec 18, 08
Abstract , Paper (src), View paper (auto. generated pdf), Index of related papers

Abstract. We investigate the dynamics of a boson gas with three-body interactions in dimensions d=1,2. We prove that in the limit where the particle number N tends to infinity, the BBGKY hierarchy of k-particle marginals converges to a limiting (Gross-Pitaevskii (GP)) hierarchy for which we prove existence and uniqueness of solutions. The solutions of the GP hierarchy are shown to be determined by solutions of a quintic nonlinear Schrodinger equation. Our proof is based on, and extends, methods of Erdos-Schlein-Yau, Klainerman-Machedon, and Kirkpatrick-Schlein-Staffilani.

Files: 08-235.src( 08-235.comments , 08-235.keywords , boseNLSquintic .pdf.mm )