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Let us begin with the following principle: the CC ansatz always returns an appropriate electronic wavefunction (meaning a combination of Slater determinants). Still, at least in a non-relativistic approach, the Hamiltonian does commute with the Spin operator \begin{equation} S^{2}=S_{+}S_{-}-S_{z}+S_{z}^{2} \end{equation} (I'm using atomic units here) and ...

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