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From \url{https://en.wikipedia.org/wiki/Interaction_picture}:
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  \centering
  \begin{tabular}{clll}
    \toprule
    & \multicolumn{3}{c}{Picture} \\
    \cmidrule{2-4}
    Evolution of: & Heisenberg & Schr{\"{o}}dinger & Interaction (Dirac) \\
    \midrule
    Ket state & constant & \(\ket{\psi_{\mathrm{S}}(t)} = e^{-iH_{\mathrm{S}}t/\hbar} \ket{\psi_{\mathrm{S}}(0)}\) & \(\ket{\psi_{\mathrm{I}}(t)} = e^{iH_{0,\mathrm{S}}t/\hbar} \ket{\psi_{\mathrm{S}}(t)}\) \\
    Observable & \(A_{\mathrm{H}}(t) = e^{iH_{\mathrm{S}}t/\hbar} A_{\mathrm{S}} e^{-iH_{\mathrm{S}}t/\hbar}\) & constant & \(A_{\mathrm{I}}(t) = e^{iH_{0,\mathrm{S}}t/\hbar} A_{\mathrm{S}} e^{-iH_{0,\mathrm{S}}t/\hbar}\) \\
    Density matrix & constant & \(\rho_{\mathrm{S}}(t) = e^{-iH_{\mathrm{S}}t/\hbar} \rho_{\mathrm{S}}(0) e^{iH_{\mathrm{S}}t/\hbar}\) & \(\rho_{\mathrm{I}}(t) = e^{iH_{0,\mathrm{S}}t/\hbar} \rho_{\mathrm{S}}(t) e^{-iH_{0,\mathrm{S}}t/\hbar}\) \\
    \bottomrule
  \end{tabular}
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