Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

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.
OriginalsprogEngelsk
TidsskriftJournal of Functional Analysis
Vol/bind270
Udgave nummer11
Sider (fra-til)4340–4368
ISSN0022-1236
DOI
StatusUdgivet - 2016

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