The Vlasov-Poisson Equations as the Semiclassical Limit of the Schrödinger-Poisson Equations: A Numerical Study
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چکیده
In this paper, we numerically study the semiclassical limit of the SchrödingerPoisson equations as a selection principle for the weak solution of the VlasovPoisson in one space dimension. Our numerical results show that this limit gives the weak solution that agrees with the zero diffusion limit of the Fokker-Planck equation. We also numerically justify the multivalued solution given by a moment system of the Vlasov-Poisson equations as the semiclassical limit of the Schrödinger-Poisson equations.
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تاریخ انتشار 2007