Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Wick products of the CAR algebra


Author: E. R. Negrin
Journal: Proc. Amer. Math. Soc. 126 (1998), 3639-3645
MSC (1991): Primary 81T08
MathSciNet review: 1623044
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Abstract: The purpose of this paper is to put in a precise mathematical (algebraic) form the Wick products of the CAR algebra. We state in detail the reduction of the ordinary product of Fermi fields in terms of a finite sum of monomials in the creation and annihilation operators in which all creation operators occur to the left of all annihilation operators (Wick-ordered) and the Fock (vacuum) state of the former.


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Additional Information

E. R. Negrin
Affiliation: Departamento de Análisis Matemático, Universidad de La Laguna, 38271 Canary Islands, Spain
Email: enegrin@ull.es

DOI: http://dx.doi.org/10.1090/S0002-9939-98-05028-X
Keywords: Wick-ordered, vacuum state, Fermi field, CAR algebra
Received by editor(s): November 19, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society