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Time Dependent Kohn-Sham Equation
[math] i \hbar \frac{\partial}{\partial t} u_{n, k} = \left[ \frac{1}{2m} \left( {p}^2 + \frac{e}{c}{{A}} \right) + V_\mathrm{H} + V_\mathrm{XC} + V_\mathrm{nucl} \right] u_{n,k} [/math]
- [math] u_{nk}(\mathbf{r},t) [/math] is the Kohn-Sham orbital of the band index [math]n[/math].
- [math] A [/math] is the vector potential.
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