Geodesic
Conformal symmetry of the chemical elements
Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 3, pp. 323-334 Cet article a éte moissonné depuis la source Math-Net.Ru

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The system of chemical elements is considered as a multiplet of the group $SU(2)\times S\tilde O(4,2)$, where $S\tilde O(4,2)$ is the universal covering of the conformal group. The representation is realised on the space of the two-component Fock wave functions. Atomic number is treated as a symmetry-breaking operator expressed in terms of observables of the conformal group. A group interpretation of chemical affinity is given involving state transition operators analogous to spin operators $J_{\pm}$ and Okubo operators of the $SU(6)$-theory. The theory results in a table of elements. 
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A. I. Fet. Conformal symmetry of the chemical elements. Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 3, pp. 323-334. http://geodesic.mathdoc.fr/item/TMF_1975_22_3_a4/

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