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--- documentation:standard_operators:orbital_angular_momuntum:lsqr [2016/10/06 07:59] – created Maurits W. Haverkort
+++ documentation:standard_operators:orbital_angular_momuntum:lsqr [2016/10/10 09:41] (current) – external edit 127.0.0.1
@@ Line 1: / Line 1: @@
+====== Lsqr ======
+###
+The $L^2$ operator is defined as:
+\begin{eqnarray}
+L^2 = \sum_{m=-l}^{m=l}\sum_{\sigma} && l(l+1) a^{\dagger}_{m,\sigma}a^{\phantom{\dagger}}_{m,\sigma}\\
+\nonumber + \sum_{m_1,m_2=-l}^{m_1,m_2=l}\sum_{\sigma_1,\sigma_2}&& \sqrt{l+m_1+1}\sqrt{l-m_1}\\
+\nonumber &&\times\,\sqrt{l+m_2+1}\sqrt{l-m_2}\\
+\nonumber &&\times \, a^{\dagger}_{m_1+1,\sigma_1}a^{\dagger}_{m_2,\sigma_2}a^{\phantom{\dagger}}_{m_1,\sigma_1}a^{\phantom{\dagger}}_{m_2+1,\sigma_2}.
+\end{eqnarray}
+The equivalent operator in Quanty is created by:
+<code Quanty Example.Quanty>
+OppLsqr = NewOperator("Lsqr", NF, IndexUp, IndexDn)
+</code>
+###
+===== Table of contents =====
+{{indexmenu>.#1}}