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 ${\mathbb R}^n$, $n\geq 1$, 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.