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On the generalized semi-relativistic Schr\"odinger-Poisson system in R^n

Mathematical Physics 2012-12-24 v1 math.MP

Abstract

The Cauchy problem for the semi-relativistic Schr\"odinger-Poisson system of equations is studied in Rn{\mathbb R}^n, n1n\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.

Keywords

Cite

@article{arxiv.1212.5570,
  title  = {On the generalized semi-relativistic Schr\"odinger-Poisson system in R^n},
  author = {Walid Abou Salem and Thomas Chen and Vitali Vougalter},
  journal= {arXiv preprint arXiv:1212.5570},
  year   = {2012}
}

Comments

AMS Latex, 14 pages