Wick products of the CAR algebra

Negrin, E.

doi:10.1090/S0002-9939-98-05028-X

Wick products of the CAR algebra
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by E. R. Negrin PDF

Proc. Amer. Math. Soc. 126 (1998), 3639-3645 Request permission

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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