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