--- res: bibo_abstract: - We provide general conditions for which bosonic quadratic Hamiltonians on Fock spaces can be diagonalized by Bogoliubov transformations. Our results cover the case when quantum systems have infinite degrees of freedom and the associated one-body kinetic and paring operators are unbounded. Our sufficient conditions are optimal in the sense that they become necessary when the relevant one-body operators commute.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Phan foaf_name: Nam, Phan foaf_surname: Nam foaf_workInfoHomepage: http://www.librecat.org/personId=404092F4-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: Marcin M foaf_name: NapiĆ³rkowski, Marcin M foaf_surname: NapiĆ³rkowski foaf_workInfoHomepage: http://www.librecat.org/personId=4197AD04-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: Jan foaf_name: Solovej, Jan foaf_surname: Solovej bibo_doi: 10.1016/j.jfa.2015.12.007 bibo_issue: '11' bibo_volume: 270 dct_date: 2016^xs_gYear dct_language: eng dct_publisher: Academic Press@ dct_title: Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations@ ...