Conformal symmetry of the chemical elements
Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 3, pp. 323-334
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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.
@article{TMF_1975_22_3_a4,
author = {A. I. Fet},
title = {Conformal symmetry of the chemical elements},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {323--334},
publisher = {mathdoc},
volume = {22},
number = {3},
year = {1975},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1975_22_3_a4/}
}
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/