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Algebraic forms for the leading factor of the two-electron coefficients of fractional parentage for the atomiclshell

 

作者: B. R. Judd,   Edwin Lo,   D. Velkov,  

 

期刊: Molecular Physics  (Taylor Available online 2000)
卷期: Volume 98, issue 16  

页码: 1151-1157

 

ISSN:0026-8976

 

年代: 2000

 

DOI:10.1080/00268970050080519

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The part of a one-electron coefficient of fractional parentage (cfp) depending, for the atomiclshell, on the spinS, seniority υ, and electron numbernof the daughter state, is factored into two parts, the first with dependence onnand υ, and the second with dependence on υ andS. Various techniques are used to extend these results to the two-electron cfp. These entail deriving analogues of the 6-jsymbols 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.

 

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