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• W2514902007 abstract "We study the many body Schrodinger evolution of weakly coupled fermions interacting through a Coulomb potential. We are interested in a joint mean field and semiclassical scaling, that emerges naturally for initially confined particles. For initial data describing approximate Slater determinants, we prove convergence of the many-body evolution towards Hartree-Fock dynamics. Our result holds under a condition on the solution of the Hartree-Fock equation, that we can only show in a very special situation (translation invariant data, whose Hartree-Fock evolution is trivial), but that we expect to hold more generally." @default.
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• W2514902007 date "2017-01-30" @default.
• W2514902007 modified "2023-10-16" @default.
• W2514902007 title "Mean Field Evolution of Fermions with Coulomb Interaction" @default.
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• W2514902007 doi "https://doi.org/10.1007/s10955-017-1725-y" @default.
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