A unitary calculus for electronic orbitals by W. G. Harter, C. W. Patterson

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By W. G. Harter, C. W. Patterson

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Extra info for A unitary calculus for electronic orbitals

Example text

I 41 For the example we obtain the 12G 4,4~ orthogonalization with the 12H 5,4) state (Eq. 8. 8c. lO. The sum there is over the equal M vectors previously derived such as those in Eq°9. s=i- L>M M fixed MI (io) Certain properties of the S operator minimize the computational labor. First, < S > is a symmetric projector so its rows or its columns are the components of the desired eigenvectors of L 2. S = S) so the scalar product (ilj) of the i-th row vector (ilwith the j-th column vector matrix

V _- ... 19b. 47 ~i~> ~II~";

The Z = +1 operators V~(pd) or V~(dp) correspond to the electric dipole or any other axial vector operator. The former conserves parity while the latter changes it.

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