On the Generalized Semi-Relativistic Schrödinger-Poisson System in 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.
2010 Mathematics Subject Classification: 82D10, 82C10
Keywords and Phrases: Schrödinger-Poisson system, mean-field dynamics, long-range interaction, functional spaces, density matrices, Cauchy problem, global existence, infinite mass limit.
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