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.

中文翻译：

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重整化的 Bogoliubov-Fröhlich Hamiltonian

Bogoliubov-Frohlich Hamiltonian 模拟了杂质与玻色-爱因斯坦凝聚态激发的相互作用。已经观察到基态能量对紫外线 (UV) 截止的依赖性与类似众所周知的模型所预期的显着不同。我们详细解释了这种 UV 行为，并提供了重整化哈密顿量的明确表示。