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math-ph2024
Local enhancement of the mean-field approximation for bosons
Marius Lemm, Simone Rademacher, Jingxuan Zhang
We study the quantum many-body dynamics of a Bose-Einstein condensate (BEC) on the lattice in the mean-field regime. We derive a local enhancement of the mean-field approximation:…
math-ph2023
Ground state of Bose gases interacting through singular potentials
Lea Boßmann, Nikolai Leopold, Sören Petrat +1
We consider a system of bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form for .…
math-ph2016★ 54 cited
Mean field evolution of fermions with Coulomb interaction
Marcello Porta, Simone Rademacher, Chiara Saffirio +1
We study the many body Schrödinger evolution of weakly coupled fermions interacting through a Coulomb potential. We are interested in a joint mean field and semiclassical scaling,…