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

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1966
Accession Number
AD0669185

Entities

People

  • I. B. Levinson

Organizations

  • American Meteorological Society

Tags

DTIC Thesaurus Topics

  • Angular Momentum
  • Coefficients
  • Couplings
  • Momentum
  • Particles
  • Physical Properties
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Structural Dynamics.