Algebraic forms for the leading factor of the two-electron coefficients of fractional parentage for the atomic l shell
Titel:
Algebraic forms for the leading factor of the two-electron coefficients of fractional parentage for the atomic l shell
Auteur:
Judd, B. R. Lo, Edwin Velkov, D.
Verschenen in:
Molecular physics
Paginering:
Jaargang 98 (2000) nr. 16 pagina's 1151-1157
Jaar:
2000-08-20
Inhoud:
The part of a one-electron coefficient of fractional parentage (cfp) depending, for the atomic l shell, on the spin S, seniority upsilon, and electron number n of the daughter state, is factored into two parts, the first with dependence on n and upsilon, and the second with dependence on upsilon and S. Various techniques are used to extend these results to the two-electron cfp. These entail deriving analogues of the 6-j symbols for the symplectic group Sp(4l + 2) and the special orthogonal group SO(2l + 1). Explicit algebraic expressions are provided, and the choice of multiplicity indices and their circumvention are discussed.