 05137 Alexander Elgart and Benjamin Schlein
 Mean Field Dynamics of Boson Stars
(123K, LateX)
Apr 15, 05

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. 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 oneparticle state. Starting from the Nbody
Schroedinger equation, we prove that, in the limit N goes to infinity, the time evolution of the oneparticle 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 by Lieb and Yau.
 Files:
05137.src(
05137.comments ,
05137.keywords ,
bosonstar.tex )