Canonical forms for quadratic Hamiltonians

P. Broadbridge and C.A. Hurst

Physica A: Statistical Mechanics and its Applications, 1981, vol. 108, issue 1, 39-62

Abstract: Our analysis of the applicable representations of the group of Bogoliubov transformations shows that the diagonalization of a quadratic fermion Hamiltonian with arbitrary complex coefficients is equivalent to the reduction of a skew symmetric matrix to secondary diagonal form by an orthogonal transformation, which we construct explicitly.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:108:y:1981:i:1:p:39-62

DOI: 10.1016/0378-4371(81)90164-3

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