On the generalized semi-relativistic Schrödinger-Poisson system in ${\mathbb{R}}^n$

Abstract

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