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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| documentation:language_reference:functions:meanfieldoperator [2018/07/23 17:08] – Created Simon Heinze | documentation:language_reference:functions:meanfieldoperator [2024/12/16 14:14] (current) – added transpose for DFt correction Kevin Ackermann | ||
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| Line 18: | Line 18: | ||
| If the option AddDFTSelfInteraction was set to true more terms are added to the Mean-Field Operator, namely | If the option AddDFTSelfInteraction was set to true more terms are added to the Mean-Field Operator, namely | ||
| \begin{equation} | \begin{equation} | ||
| - | \sum_{m} U \langle a^\dagger_m a^{\phantom{\dagger}}_m \rangle a^\dagger_m a^{\phantom{\dagger}}_m | + | \sum_{m,n} U (\langle a^\dagger_m a^{\phantom{\dagger}}_n \rangle)^{T} a^\dagger_m a^{\phantom{\dagger}}_n |
| \end{equation} | \end{equation} | ||
| where | where | ||
| Line 27: | Line 27: | ||
| \frac{N_{Fermion} (N_{Fermion}-1)}{2} | \frac{N_{Fermion} (N_{Fermion}-1)}{2} | ||
| \right)^{-1} | \right)^{-1} | ||
| - | \sum_m | + | \sum_{m,n} |
| \left( | \left( | ||
| U_{m\, | U_{m\, | ||
