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documentation:standard_operators:orbital_angular_momuntum:ly [2016/10/06 07:57] – created Maurits W. Haverkortdocumentation:standard_operators:orbital_angular_momuntum:ly [2016/10/10 09:41] (current) – external edit 127.0.0.1
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 +====== 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}}
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