The Renormalised Bogoliubov-Fröhlich Hamiltonian
arXiv:1909.02430 · doi:10.1063/5.0014217
Abstract
The Bogoliubov-Fröhlich 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 cutoff differs significantly from what would be expected from similar well-known models. We give a detailed explanation of this UV behaviour, and provide an explicit representation of the renormalised Hamiltonian.
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