1212.5570 (Walid Abou Salem et al.)

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

Walid Abou Salem, Thomas Chen, Vitali Vougalter

The Cauchy problem for the semi-relativistic Schr\"odinger-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.

View original: http://arxiv.org/abs/1212.5570