Journal
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
Volume 60, Issue 4, Pages 500-545Publisher
WILEY
DOI: 10.1002/cpa.20134
Keywords
-
Categories
Ask authors/readers for more resources
We consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or repulsive). We choose the initial wave function to describe a condensate where the N bosons are all in the same one-particle state. Starting from the N-body Schrodinger equation, we prove that, in the limit N -> infinity, the time evolution of the one-particle density is governed by the relativistic nonlinear Hartree equation. This equation is used to describe the dynamics of boson stars (Chandrasekhar theory). The corresponding static problem was rigorously solved in [10]. (c) 2006 Wiley Periodicals, Inc.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available