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I am trying to solve the following equation:

[itex]\Psi(r,t) = \sum_n C_n(t) e^{-i E_n t} \psi(r)[/itex]

to find the [itex]C_n(t)[/itex]s.

The system I am modeling is benzene. I can, by Hückel's method, determine the time-independent solution. The apparently obvious transition from time-independent coefficients to time-dependent coefficients is troubling me. A simple plot of the squared coefficients indicates that my electron density vanishes, which is indicative of error.

I'm wondering how is the proper way to solve for the time-dependent coefficients...

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# Determination of time-dependent coefficients (QM)

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