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(Time Dependent Kohn-Sham Equation)
(Following is Test of MediaWiki)
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\left[
 
\left[
 
\frac{1}{2m} \left(
 
\frac{1}{2m} \left(
{p}^2
+
{p}
 +
+
 +
\hbar k
 
+
 
+
 
\frac{e}{c}{{A}}
 
\frac{e}{c}{{A}}
\right)
+
\right)^2
 
+
 
+
 
V_\mathrm{H}
 
V_\mathrm{H}

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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} + \hbar k + \frac{e}{c}{{A}} \right)^2 + 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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