Ly

The $L_y$ operator is defined as: $$\begin{eqnarray} L_y = \sum_{m=-l}^{m=l}\sum_{\sigma} && \frac{\imath}{2}\sqrt{l+m+1}\sqrt{l-m}\\ \nonumber &&\times\left(-a^{\dagger}_{m+1,\sigma}a^{\phantom{\dagger}}_{m,\sigma} + a^{\dagger}_{m,\sigma}a^{\phantom{\dagger}}_{m+1,\sigma}\right). \end{eqnarray}$$ The equivalent operator in Quanty is created by:

Example.Quanty

OppLy = NewOperator("Ly", NF, IndexUp, IndexDn)