On the generalized semi-relativistic Schrödinger-Poisson system in R^n

Abstract

The Cauchy problem for the semi-relativistic Schrödinger-Poisson system of equations is studied in ${\mathbb{R}}^n$, $n\ge 1$, for a wide class of nonlocal interactions. Furthermore, the asymptotic behavior of the solution as the mass tends to infinity is rigorously discussed, which corresponds to a non-relativistic limit.

AMS Latex, 14 pages

References in corpus (1)

• The Hartree-von Neumann limit of many body dynamics

Cited by in corpus (1)

• On the scattering problem for infinitely many fermions in dimensions $d\ge 3$ at positive temperature