The renormalized Bogoliubov-Frohlich Hamiltonian

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TitreThe renormalized Bogoliubov-Frohlich Hamiltonian
Type de publicationJournal Article
Year of Publication2020
AuteursLampart J
JournalJOURNAL OF MATHEMATICAL PHYSICS
Volume61
Pagination101902
Date PublishedOCT 1
Type of ArticleArticle
ISSN0022-2488
Résumé

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.

DOI10.1063/5.0014217