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arxiv: 1212.5570 · v1 · pith:NGTNBEEAnew · submitted 2012-12-21 · 🧮 math-ph · math.MP

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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