A Wick Theorem for Spin-One Operators

Abstract

A generalization to all spin magnitudes of the drone-fermion representation (previously known for spin ½), is presented, and the resulting eigenstates investigated. Linear combinations of products of fermion operators acting on a vacuum state can always be found which correspond to spin states which are eigenvectors of ${\mathrm{S}}^2$ and $S^z$. It is then shown that for the case of spin 1 (units of $\hslash$) it is possible to construct a Wick theorem which is analogous to the usual temperature form for standard fermion creation and destruction operators.