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Résumés > Marcin NapiórkowskiMarcin Napiórkowski - "Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations" I will 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. This is joint work with Phan Thành Nam and Jan Philip Solovej. |
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