 The diagonal matrix formula_52 contains the eigenvalues, while
the columns of C contain the eigenvectors.It can be shown that the invariance of "V" under simultaneous translation over t of all nuclei implies that vectors T = (t, ..., t) are in the kernel of H.
From the invariance of "V" under an infinitesimal rotation of all nuclei around s, it can be shown that also the vectors S = (s x R10, ..., s x RN0) are in the kernel of H