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

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Extra info for A unitary calculus for electronic orbitals

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Indeed, this S n symmetry is always quite perfect in nature while the various spatial symmetries can never be perfect come and go, and strictly speaking, in the real world. group U m is simply a mathematical quantum mechanics And, the operator prerequisite for doing with m states when their total probability is to be conserved. The last Section 3 of the mathematical pattern calculus is devoted to further discussion structure of Snand U m bases, in general. There we discuss and shell structures of higher spin or more internal electron.

17) I~> : o ... .... O II> l~i> : o ... o .... 01II>... o .... o L III> : o ... ... . . Suppose, as before, that the tableaus or components i, j, k .... corresponded to the first non-zero components of II>, II~ , IIII~ .... respectively. °. will require only the i, j, k .... j> in the basis of the equal-M tableaus I ~ , 12> . . In>. (18) ... v _- ... 19b. 47 ~i~> ~II~";

18 in (I), and provides a continuous check of the results along the way. 24 22 and by adding the overlap between the 3 columns to the ~2 overlap between the same two rows. A numerical evaluation of a particular vk°v k, say V3. ,-~. ~ . . . . ~ : ,:'<~ -~,~ . ~ . ,_ . ~J~ ~ -~ . . . . . . . - ................... :~ . ~ :~ -~ '~ ~- I ~Ic~:~l~ -,>. ~---~ : c~ . ~ I . . • I . ,, ~ ... . - :: ~ "~ ~',-i ~- ~ • ~-~ . ~i~i~---~. SSs L~L~I~ ~ ..... ~ ..... ,--i II ~-4 L",I O,l . 25. 26a) and the desired interaction matrix (Eq26b).

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