forcebalance:equation_of_motion
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| Both sides previous revisionPrevious revision | |||
| forcebalance:equation_of_motion [2023/11/22 12:33] – Create Chapter: Particle Number Operator cjoens | forcebalance:equation_of_motion [2023/11/22 12:42] (current) – [Current Density Operator] cjoens | ||
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| Line 45: | Line 45: | ||
| Wtih the help of the EoM of the fermionic field operator, the EoM for the current density operator $J(x,t)$ becomes | Wtih the help of the EoM of the fermionic field operator, the EoM for the current density operator $J(x,t)$ becomes | ||
| \begin{equation} | \begin{equation} | ||
| - | \frac{\partial}{\partial t} J (x,t) | + | \frac{\partial}{\partial t} \hat{J}_\text{H} |
| = | = | ||
| + | \frac{\partial}{\partial t} \hat{j}_\text{H} (x,t) | ||
| + | + | ||
| + | \frac{\partial}{\partial t} \hat{j}_\text{d, | ||
| + | = | ||
| + | \dots | ||
| + | + | ||
| \dots | \dots | ||
| \quad . | \quad . | ||
| \end{equation} | \end{equation} | ||
| + | FIXME Insert Link to para and diramagnetic definitions | ||
| This holds for symmetric correlation potentials | This holds for symmetric correlation potentials | ||
| \begin{equation} | \begin{equation} | ||
forcebalance/equation_of_motion.1700652792.txt.gz · Last modified: 2023/11/22 12:33 by cjoens