• Corpus ID: 118276248

Mean field limit of bosonic systems in partially factorized states and their linear combinations

  title={Mean field limit of bosonic systems in partially factorized states and their linear combinations},
  author={Marco Falconi},
  journal={arXiv: Mathematical Physics},
  • M. Falconi
  • Published 24 May 2013
  • Mathematics
  • arXiv: Mathematical Physics
We study the mean field limit of one-particle reduced density matrices, for a bosonic system in an initial state with a fixed number of particles, only a fraction of which occupies the same state, and for linear combinations of such states. In the mean field limit, the time-evolved reduced density matrix is proved to converge: in trace norm, towards a rank one projection (on the state solution of Hartree equation) for a single state; in Hilbert-Schmidt norm towards a mixed state, combination of… 
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