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documentation:language_reference:functions:operatorsettrace [2018/09/26 13:00] – disclaimer Simon Heinzedocumentation:language_reference:functions:operatorsettrace [2025/11/20 03:29] (current) – external edit 127.0.0.1
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 ====== OperatorSetTrace ====== ====== OperatorSetTrace ======
  
-### +Deprecated, with next release use //[[documentation:language_reference:functions:OperatorSetOnsiteEnergy|OperatorSetOnsiteEnergy()]]//, which has the same behaviour.
-OperatorSetTrace($O$, $t$, {$i_1,...,i_n$}) takes an Operator $O$, an optional real value $t$ for the trace and an optional list {$i_1,...,i_n$} of included orbitals, and sets the trace of these orbitals to $t$. It furthermore sets any scalar offset of the operator to 0 (or rather will, with the next update). If no list of indices is given the function includes all orbitals up to the number of fermionic states, and if no value $t$ is given the trace is set to 0. +
- +
-After the operation the operator has the property +
-\begin{equation*} +
-\sum_{j=\{i_1,...,i_n\}} +
-O_{jj} +
-= +
-t +
-\hspace{0.3cm} +
-, +
-\end{equation*} +
-where $O_{jj}$ are the prefactors of the diagonal quadratic terms of the operator, +
-\begin{equation*} +
-O +
-= +
-\sum_{i,j} +
-O_{ij} a_i^\dagger a_j^{\phantom{\dagger}} +
-+ +
-... +
-\hspace{0.3cm} +
-. +
-\end{equation*} +
-### +
- +
-===== Input ===== +
- +
-  * $O$ : Operator +
-  * $t$ : New value of the trace (Default 0) +
-  * {$i_1,...,i_n$} : List of indices (Default {$0,...,N_{Fermi}-1$}) +
- +
-===== Output ===== +
- +
-  * $O^\prime$ : Operator with newly set trace +
- +
-===== Example ===== +
- +
-### +
-Give me just a minute. +
-### +
- +
-==== Input ==== +
-<code Quanty Example.Quanty> +
--- some example code +
-</code> +
- +
-==== Result ==== +
-<file Quanty_Output> +
-text produced as output +
-</file>+
  
 ===== Table of contents ===== ===== Table of contents =====
 {{indexmenu>.#1}} {{indexmenu>.#1}}
  

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