Mean-field quantum dynamics with magnetic fields Academic Article uri icon

abstract

  • 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 $N
    ightarrow infty$. Estimates on the rate of convergence are provided.

published proceedings

  • Journal of Mathematical Physics

author list (cited authors)

  • Lhrmann, J.

citation count

  • 13

complete list of authors

  • L├╝hrmann, Jonas

publication date

  • February 2012