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

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...

Full description

Saved in:
Bibliographic Details
Main Author: Levinson,I B
Format: Report
Language:English
Subjects:
Atomic and Molecular Physics and Spectroscopy
ATOMIC ORBITALS
ATOMIC SPECTROSCOPY
MATRICES(MATHEMATICS)
OPERATORS(PERSONNEL)
Quantum Theory and Relativity
TRANSLATIONS
USSR
WAVE FUNCTIONS
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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) Trans. of Akademiya Nauk Litovskoi SSR, Vilna. Trudy. Seriya BM4(12) p17-31 1957, by George E. Brady, Jr., and Stuart W. Kellogg.