Geodesic
On the generalized semi-relativistic Schrödinger-Poisson system in $\mathbb{R}^n$
Documenta mathematica, Tome 18 (2013), pp. 343-357
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The Cauchy problem for the semi-relativistic Schrödinger-Poisson system of equations is studied in Rn,n≥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.
DOI : 10.4171/dm/400
Classification : 82C10, 82D10
Mots-clés : Cauchy problem, global existence, Schrödinger-Poisson system, mean-field dynamics, long-range interaction, functional spaces, density matrices, infinite mass limit 
@article{10_4171_dm_400,
     author = {W. Abou Salem and Thomas Chen and V. Vougalter},
     title = {On the generalized semi-relativistic {Schr\"odinger-Poisson} system in $\mathbb{R}^n$},
     journal = {Documenta mathematica},
     pages = {343--357},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/400},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/400/}
}
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W. Abou Salem; Thomas Chen; V. Vougalter. On the generalized semi-relativistic Schrödinger-Poisson system in $\mathbb{R}^n$. Documenta mathematica, Tome 18 (2013), pp. 343-357. doi: 10.4171/dm/400

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