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- W1966164087 abstract "It is well known that the spectrum of a homogeneous quadratic Hamiltonian in m fermion construction-operator pairs is characterised by m mode energies. In this paper it is proved that the spectrum of a quadratic Hamiltonian with a linear part presents the same feature. Simple methods are given for the calculation of the mode energies and of the ground-state energy of the Hamiltonian. It is shown that, in contrast to the boson case, the diagonalisation cannot be carried out by a linear transformation of the fermion construction operators. Application of such a transformation can only result in a diagonalisation after the introduction of a 'ghost' particle (fermion) and a corresponding pair of Hermitian-conjugate construction operators." @default.
- W1966164087 created "2016-06-24" @default.
- W1966164087 creator A5091397960 @default.
- W1966164087 date "1979-04-01" @default.
- W1966164087 modified "2023-10-18" @default.
- W1966164087 title "Diagonalisation of the quadratic fermion Hamiltonian with a linear part" @default.
- W1966164087 cites W1967531269 @default.
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- W1966164087 doi "https://doi.org/10.1088/0305-4470/12/4/008" @default.
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