The paper establishes (N-)diagonalization of quadratic fermionic Hamiltonians under weaker assumptions than prior work and shows equivalence of generator and standard definitions when the vacuum belongs to the domain.
Araki, On Quasifree States of CAR and Bogoliubov Auto morphisms, Publ
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Quadratic Hamiltonians in Fermionic Fock Spaces
The paper establishes (N-)diagonalization of quadratic fermionic Hamiltonians under weaker assumptions than prior work and shows equivalence of generator and standard definitions when the vacuum belongs to the domain.