Sz

The $S_z$ operator is defined as: $$\begin{equation} S_z = \sum_{\tau} \frac{1}{2}\left(a^{\dagger}_{\tau\uparrow}a^{\phantom{\dagger}}_{\tau\uparrow} - a^{\dagger}_{\tau\downarrow}a^{\phantom{\dagger}}_{\tau\downarrow}\right). \end{equation}$$ The equivalent operator in Quanty is created by:

Example.Quanty

OppSz = NewOperator("Sz",NF,IndexUp,IndexDn)