The renormalized Bogoliubov–Fröhlich Hamiltonian

  title={The renormalized Bogoliubov–Fr{\"o}hlich Hamiltonian},
  author={Jonas Lampart},
  journal={Journal of Mathematical Physics},
  • J. Lampart
  • Published 5 September 2019
  • Physics
  • Journal of Mathematical Physics
The Bogoliubov–Frohlich Hamiltonian models the interaction of an impurity with the excitations of a Bose–Einstein condensate. It has been observed that the dependence of the ground state energy on the ultraviolet (UV) cutoff differs significantly from what would be expected from similar well-known models. We give a detailed explanation of this UV behavior and provide an explicit representation of the renormalized Hamiltonian. 
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