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--- documentation:standard_operators:orbital_angular_momuntum:ly [2016/10/06 07:57] – created Maurits W. Haverkort
+++ documentation:standard_operators:orbital_angular_momuntum:ly [2016/10/10 09:41] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
+====== 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:
+<code Quanty Example.Quanty>
+OppLy = NewOperator("Ly", NF, IndexUp, IndexDn)
+</code>
+###
+===== Table of contents =====
+{{indexmenu>.#1}}