Rate of convergence toward Hartree type equations for mixture condensates with factorized initial data

Lee, Jinyeop (2021): Rate of convergence toward Hartree type equations for mixture condensates with factorized initial data. In: Journal of Mathematical Physics, Bd. 62, Nr. 9, 91901

Abstract

We consider a system of p species of bosons, each of which consists of N-1, N-2, horizontal ellipsis , N-p particles. The bosons are in three dimensions with interactions via an interaction potential V such that V & LE;D(1 - & UDelta;), which includes the Coulomb interaction. We set the initial condition to describe a mixture condensate, i.e., a tensor product of factorized states. We show that the difference between the many-body Schrodinger evolution in the mean-field regime and the corresponding p particle dynamics due to a system of coupled Hartree equations is O(N-1), where N= n-ary sumation N-p(q=1)q.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0022-2488
• Sprache: Englisch