Attachment / detachment densities for MRSF excited states (unrelaxed).
Given two roots ``i`` (reference state, default S0) and ``n``, the difference
density is ``Delta = gamma^n - gamma^i``. Because both state 1-RDMs share the
same high-spin reference, the reference cancels and
``Delta = Delta gamma^n - Delta gamma^i`` (the two exposed traceless diagonal
blocks). Diagonalizing the symmetric ``Delta`` (in the orthonormal MO basis)
and splitting by eigenvalue sign yields the detachment (negative) and
attachment (positive) densities of Head-Gordon et al.