Mean-field dynamics of fermions with relativistic dispersion

@article{Benedikter2014MeanfieldDO,
  title={Mean-field dynamics of fermions with relativistic dispersion},
  author={Niels Benedikter and M. Porta and B. Schlein},
  journal={Journal of Mathematical Physics},
  year={2014},
  volume={55},
  pages={021901}
}
  • Niels Benedikter, M. Porta, B. Schlein
  • Published 2014
  • Physics, Mathematics
  • Journal of Mathematical Physics
  • We extend the derivation of the time-dependent Hartree-Fock equation recently obtained by Benedikter et al. [“Mean-field evolution of fermionic systems,” Commun. Math. Phys. (to be published)] to fermions with a relativistic dispersion law. The main new ingredient is the propagation of semiclassical commutator bounds along the pseudo-relativistic Hartree-Fock evolution. 
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