Electronic Density - RT-TDDFT vs TDDFT


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Hello,

When I compare the electron density difference (excited state minus ground state) of a RT-TDDFT and a normal linear response TDDFT calculation they are quite different. For instance, given that the absorption spectra from both calculations are the same, if I do the RT-TDDFT calculation, shouldn't the electron density at the maximum of the dipole oscillation be the same as the static TDDFT calculation?

Thanks,
Stacey