2019/09/30 by Jonas Lampart · 20 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Cold Atom Physics and Bose-Einstein Condensates #Covariant Hamiltonian field theory #Cutoff #Ground state #Hamiltonian (control theory) #Physics of Superconductivity and Magnetism #Renormalization #Representation (politics) #Ultraviolet #cond-mat.quant-gas #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1063/5.0014217
published in Journal of Mathematical Physics 61(10) (American Institute of Physics)
openalex publication_date 2020/10/01 · arxiv created 2020/11/04 · arxiv updated 2020/11/05 · openalex created_date 2020/11/09 · openalex updated_date 2026/08/05
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 (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.