Wick products of the CAR algebra

Author:
E. R. Negrin

Journal:
Proc. Amer. Math. Soc. **126** (1998), 3639-3645

MSC (1991):
Primary 81T08

DOI:
https://doi.org/10.1090/S0002-9939-98-05028-X

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:
https://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