Lz

The $L_z$ operator is defined as: $$\begin{eqnarray} L_z = \sum_{m=-l}^{m=l}\sum_{\sigma} m a^{\dagger}_{m,\sigma}a^{\phantom{\dagger}}_{m,\sigma}. \end{eqnarray}$$ The equivalent operator in Quanty is created by:

Example.Quanty

OppLz = NewOperator("Lz", NF, IndexUp, IndexDn)