Reduced Coefficients of Fractional Parentage and Matrix Elements of the Tensor W(kqkj) in jj-Coupling

✍ Scribed by Gediminas Gaigalas; Stephan Fritzsche; Zenonas Rudzikas

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 259 KB
• Volume: 76
• Category: Article
• ISSN: 0092-640X
• DOI: 10.1006/adnd.2000.0844

✦ Synopsis

The reduced coefficients of fractional parentage and the completely reduced matrix elements of the tensor W (k q k j ) are tabulated for all subshells with j = 3/2, 5/2, 7/2, 9/2. These coefficients and matrix elements are frequently needed in relativistic atomic structure calculations in order to carry out the integration over the spin-angular variables in standard approaches like the multiconfiguration Dirac-Fock or the many-body perturbation theory. The efficient use and properties of these reduced coefficients of fractional parentage and of the matrix elements of the tensor W (k q k j ) as well as of the tables of their numerical values are also discussed.