On an alternative parametrization for the theory of complex spectra

Maurice R. Kibler (1) , Jacob Katriel (2)

1 IPNL - Institut de Physique Nucléaire de Lyon
2 TECHNION - Department of Chemistry

The purpose of this letter is threefold : (i) to derive, in the framework of a new parametrization, some compact formulas of energy averages for the electrostatic interaction within an (nl)N configuration, (ii) to describe a new generating function for obtaining the number of states with a given spin angular momentum in an (nl)N configuration, and (iii) to report some apparently new sum rules, actually a by-product of (i), for SU(2) > U(1) coupling coefficients.

Mots clés: energy averages; generating function; atomic configuration; Coulomb interaction; 3-jm symbols

Domaines: Physique Atomique [physics.atom-ph]; Physique Quantique [quant-ph]; Chimie-Physique [physics.chem-ph]

Maurice R. Kibler, Jacob Katriel. On an alternative parametrization for the theory of complex spectra. Physics Letters A, 1990, 147, pp.417-422. ⟨10.1016/0375-9601(90)90597-H⟩. ⟨hal-00001509⟩