RT Journal Article T1 The Madelung rule, Regge-like sequences and the conformal Lie algebra A1 Campoamor-Stursberg, Rutwig AB The two main group theoretical models related to the Periodic System of Chemical Elements are reviewed, in connection with the Madelung rule and the construction of orthonormal bases of states for the conformal Lie algebra so (2,4). Basing on discrepancies between the Madelung rule and chemical experience, a new approach to the conformal symmetry, currently in development, is described. PB IOP Publishing Ltd SN 1742-6588 LK https://hdl.handle.net/20.500.14352/65299 UL https://hdl.handle.net/20.500.14352/65299 LA eng NO [1]Weyl H 1928 Gruppentheorie und Quantenmechanik (Hirzel Verlag, Leipzig)[2]Bohr N 1921 Nature 107 104Hund F 1925 Z. Phys. 33 855Lenz W 1924 Z. Phys. 34 197Pauli W 1926 Z. Phys. 36 336Condon E U, Shortley G H 1935 The Theory of Atomic Spectra (University Press, Cambridge)Brauer R, Weyl H 1935 Am. J. Math. 57 425Fock V A 1936 Z. 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