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| documentation:standard_operators:spin:sz [2016/10/05 23:52] – created Maurits W. Haverkort | documentation:standard_operators:spin:sz [2025/11/20 03:29] (current) – external edit 127.0.0.1 | ||
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| + | ====== Sz ====== | ||
| + | ### | ||
| + | The $S_z$ operator is defined as: | ||
| + | \begin{equation} | ||
| + | S_z = \sum_{\tau} \frac{1}{2}\left(a^{\dagger}_{\tau\uparrow}a^{\phantom{\dagger}}_{\tau\uparrow} - a^{\dagger}_{\tau\downarrow}a^{\phantom{\dagger}}_{\tau\downarrow}\right). | ||
| + | \end{equation} | ||
| + | The equivalent operator in Quanty is created by: | ||
| + | <code Quanty Example.Quanty> | ||
| + | OppSz = NewOperator(" | ||
| + | </ | ||
| + | ### | ||
| + | |||
| + | |||
| + | ===== Table of contents ===== | ||
| + | {{indexmenu> | ||
