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• W3106001605 abstract "We consider mixed quasi-free states describing $N$ fermions in the mean-field limit. In this regime, the time evolution is governed by the nonlinear Hartree equation. In the large $N$ limit, we study the convergence towards the classical Vlasov equation. Under integrability and regularity assumptions on the initial state, we prove strong convergence in trace and Hilbert-Schmidt norm and provide explicit bounds on the convergence rate for a class of singular potentials of the form $V(x)=|x|^{-alpha}$, for $alphain(0,1/2)$." @default.
• W3106001605 created "2020-11-23" @default.
• W3106001605 creator A5068016048 @default.
• W3106001605 date "2019-03-16" @default.
• W3106001605 modified "2023-09-24" @default.
• W3106001605 title "Semiclassical Limit to the Vlasov Equation with Inverse Power Law Potentials" @default.
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• W3106001605 doi "https://doi.org/10.1007/s00220-019-03397-5" @default.
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