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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 [/math] is the Kohn-Sham orbital.

- [math] A [/math] is the vector potential.