3 citations · 9 across the 5 of their papers we have counts for
5 papers
Rayleigh Scattering at Atoms with Dynamical Nuclei
J. Froehlich, M. Griesemer, B. Schlein
Scattering of photons at an atom with a dynamical nucleus is studied on the subspace of states of the system with a total energy below the threshold for ionization of the atom (Ray…
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…
Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons
Alexander Elgart, Laszlo Erdos, Benjamin Schlein +1
We consider the dynamics of boson systems interacting through a pair potential where . We denote the solution to the -particl…
Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate
Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Consider a system of bosons on the three dimensional unit torus interacting via a pair potential , where $\bx=(x_1, ..., x_N)$ denotes the positions of the pa…
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
Alexander Elgart, Laszlo Erdos, Benjamin Schlein +1
We consider a system of N weakly interacting fermions with a real analytic pair interaction. We prove that for a general class of initial data there exists a fixed time T such that…