Mean-field quantum dynamics with magnetic fields

We consider a system of N bosons in three dimensions interacting through a mean-field Coulomb potential in an external magnetic field. For initially factorized states we show that the one-particle density matrix associated with the solution of the N-body Schrodinger equation converges to the projection onto the solution of the magnetic Hartree equation in trace norm and in energy as N -> infinity. Estimates on the rate of convergence are provided. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3687024]