344 citations · 2.6k across the 88 of their papers we have counts for
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Mean-Field Dynamics of Fermions with Relativistic Dispersion
Niels Benedikter, Marcello Porta, Benjamin Schlein
We extend the derivation of the time-dependent Hartree-Fock equation recently obtained in [2] to fermions with a relativistic dispersion law. The main new ingredient is the propaga…
Dynamics of a strongly coupled polaron
Rupert L. Frank, Benjamin Schlein
We study the dynamics of large polarons described by the Froehlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an e…
Bounds for the Stieltjes Transform and the Density of States of Wigner Matrices
Claudio Cacciapuoti, Anna Maltsev, Benjamin Schlein
We consider ensembles of Wigner matrices, whose entries are (up to the symmetry constraints) independent and identically distributed random variables. We show the convergence of th…
Multivariate Central Limit Theorem in Quantum Dynamics
Simon Buchholz, Chiara Saffirio, Benjamin Schlein
We consider the time evolution of bosons in the mean field regime for factorized initial data. In the limit of large , the many body evolution can be approximated by the non…
Fluctuations around Hartree states in the mean-field regime
Mathieu Lewin, Phan Thành Nam, Benjamin Schlein
We consider the dynamics of a large system of N interacting bosons in the mean-field regime where the interaction is of order 1/N. We prove that the fluctuations around the nonline…
Mean-field Evolution of Fermionic Systems
Niels Benedikter, Marcello Porta, Benjamin Schlein
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 wit…