A review of the mean field limits for Vlasov equations AIMS share this content in Facebook
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This course explains how the usual mean field evolution partial differential equations (PDEs)
in Statistical Physics—such as the Vlasov-Poisson system, the vorticity formulation of the two …

Stephen J. Gustafson Israel Michael Sigal Third Edition Page 1 Universitext Stephen J.
Gustafson Israel Michael Sigal Mathematical Concepts of Quantum Mechanics Third Edition …

In this paper, we study the existence and the instability of standing waves with prescribed L
2-norm for a class of Schrödinger–Poisson–Slater equations in ℝ3 when. To obtain such …

In these notes we review the material presented at the summer school on “Mathematical
Physics, Analysis and Stochastics” held at the University of Heidelberg in July 2014. We …

Ultrafast electron dynamics have made rapid progress in the last few years. With Jellyfish,
we now introduce a program suite that enables to perform the entire workflow of an electron …

The mean field limit for systems of many fermions is naturally coupled with a semiclassical
limit. This makes the analysis of the mean field regime much more involved, compared with …

We present an overview of some works on the models of computational quantum chemistry.
We examine issues such as the existence of ground states (both for the electronic structure …

In this paper we study the dynamics of fermionic mixed states in the mean‐field regime. We
consider initial states that are close to quasi‐free states and prove that, under suitable …

In this paper, we study the existence of minimizers for F (u)= 1 2 R^ 3| ∇ u|^ 2\rm d x+ 1 4 R^
3 R^ 3| u (x)|^ 2| u (y)|^ 2| xy|\rm dx\rm d y-1 p R^ 3| u|^ p\rm dx on the constraint S (c)={u ∈ …