344 citations · 2.6k across the 88 of their papers we have counts for
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math-ph2005★ 344 cited
Derivation of the Cubic Non-linear Schrödinger Equation from Quantum Dynamics of Many-Body Systems
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
We prove rigorously that the one-particle density matrix of three dimensional interacting Bose systems with a short-scale repulsive pair interaction converges to the solution of th…
math-ph2005★ 2 cited
Derivation of the Gross-Pitaevskii Hierarchy
Benjamin Schlein
We report on some recent results regarding the dynamical behavior of a trapped Bose-Einstein condensate, in the limit of a large number of particles. These results were obtained in…
math-ph2005★ 3 cited
Mean Field Dynamics of Boson Stars
Alexander Elgart, Benjamin Schlein
We consider a quantum mechanical system of N bosons with relativistic dispersion interacting through a mean field Coulomb potential (attractive or repulsive). We choose the initial…