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Functional Integrals for Fermi Systems Without Quaternions

A system of new and convenient states suitable for developing functional integrals for Fermi systems over complex variables (thus by-passing complexities introduced by the quaternionic calculus in the treatment of such systems) is presented. By way of application, the thermodynamic potential associa...

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Bibliographic Details
Published in:Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1976-10, Vol.350 (1663), p.547-552
Main Author: Papadopoulos, G. J.
Format: Article
Language:English
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Summary:A system of new and convenient states suitable for developing functional integrals for Fermi systems over complex variables (thus by-passing complexities introduced by the quaternionic calculus in the treatment of such systems) is presented. By way of application, the thermodynamic potential associated with the second quantized hamiltonian H = Σk ∊ka+k ak + ½ Σk, k' a+k a+k' Vkk' ak' ak is given explicitly in the form of a power series in the fugacity of the system.
ISSN:1364-5021
0080-4630
1471-2946
2053-9169
DOI:10.1098/rspa.1976.0123