1202.1065 (Jonas Luhrmann)

Mean-field quantum dynamics with magnetic fields    [PDF]

Jonas Luhrmann

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 Schr\"odinger equation converges to the projection
onto the solution of the magnetic Hartree equation in trace norm and in energy
as $N \rightarrow \infty$. Estimates on the rate of convergence are provided.

View original: http://arxiv.org/abs/1202.1065