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dc.contributor.authorLIll, S.
dc.date.accessioned2022-06-23T14:02:03Z
dc.date.available2022-06-23T14:02:03Z
dc.date.issued2022-04-28
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1481
dc.description.abstractWe provide two extensions of a dense subspace of Fock space, such that Bogoliubov transformations become implementable on them, even though they violate the Shale-Stinespring condition, so they are not implementable on Fock space. Both the bosonic and fermionic case are covered. Conditions for implementability in the extended sense are stated and proved. From these, we derive conditions for a quadratic Hamiltonian to be diagonalizable by a Bogoliubov transformation that is implementable in the extended sense. Three examples illustrate situations, in which an implementation in the extended sense is possible although the Shale-Stinespring condition fails to hold.en_US
dc.description.sponsorshipDAAD (Deutscher Akademischer Austauschdienst)en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectSecond quantization; Bogoliubov transformation; Renormalization; Many-Body Quantum Mechanics; Quantum Field theory; Infinite tensor productsen_US
dc.titleImplementing Bogoliubov Transformations Beyond the Shale-Stinespring Conditionen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.arxiv2204.13407
dc.relation.publisherversionhttps://arxiv.org/abs/2204.13407en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España