On the generalized semi-relativistic Schr\"odinger-Poisson system in R^n
classification
🧮 math-ph
math.MP
keywords
odinger-poissonschrsemi-relativisticsystemasymptoticbehaviorcauchyclass
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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.
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