Accession Number:

AD0669185

Title:

FRACTIONAL PARENTAGE COEFFICIENTS OF A CONFIGURATION WITH SEVERAL SHELLS (GENEALOGICHESKIE KOEFFITSIENTY KONFIGURATSII S NESKOLKIMI OBOLOCHKAMI),

Descriptive Note:

Corporate Author:

AMERICAN METEOROLOGICAL SOCIETY BOSTON MASS

Personal Author(s):

Report Date:

1966-08-01

Pagination or Media Count:

23.0

Abstract:

The wave functions of a configuration consisting of an arbitrary number of shells are formulated by coupling of the momenta of the antisymmetric wave functions of the individual shells and by subsequent antisymmetrization of the resulting wave function through exchanges of particle coordinates among the shells. The fractional parentage coefficients of these wave functions are expressed as the product of one or two fractional parentage coefficients per individual shell times the matrix element of the matrix of transformation between the various angular-momentum coupling schemes. Formulas are derived for calculating the matrix elements of the symmetric operators. Author

Subject Categories:

  • Atomic and Molecular Physics and Spectroscopy
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE