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arXiv · 2104.05465

Convergence towards the Vlasov-Poisson Equation from the $N$-Fermionic Schr\"odinger Equation

Li Chen·Jinyeop Lee·Matthew Liew
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Abstract

We consider the quantum dynamics of $N$ interacting fermions in the large $N$ limit. The particles in the system interact with each other via repulsive interaction that is regularized Coulomb potential with a polynomial cutoff with respect to $N$.From the quantum system, we derive the Vlasov-Poisson system by simultaneously estimating the semiclassical and mean-field residues in terms of the Husimi measure.

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Li Chen, Jinyeop Lee, Matthew Liew. 2021-04-12. Convergence towards the Vlasov-Poisson Equation from the $N$-Fermionic Schr\"odinger Equation. https://doi.org/10.1007/s00023-021-01103-7

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