Fermionic operator (source code)

= Fermionic operator
{title2=$PAP=-A$}

A <fermionic operator> is odd under <fermion parity>: if $P=(-1)^N$ is the parity operator, then $PAP=-A$. A <fermionic creation operator> or <fermionic annihilation operator> is an example. Interchanging odd insertions in a <time-ordered product> contributes the corresponding <fermionic sign>. Odd parity alone does not imply that every pair of such operators has zero <anticommutator>.