Open AccessA new Young tableau method of obtaining equivalent-electron Young basis
Author(s) -
HU Kun-ming,
Jianbo Wang
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.1253
Subject(s) - young tableau , normalization (sociology) , permutation (music) , basis (linear algebra) , operator (biology) , constructive , mathematics , basis function , function (biology) , pure mathematics , computer science , physics , mathematical analysis , geometry , biochemistry , chemistry , process (computing) , repressor , evolutionary biology , sociology , biology , anthropology , acoustics , transcription factor , gene , operating system
In this paper, the projection function of regular Young tableau of equivalent-electrons is proved to be a Slauer function, and the operation rules of Young's permutation operators operating on the Slater function are given. The Young operators can be distinguished as elimination operator and effective permutation operator by the normalization of Young basis, then the constructive rules of permutation operators of the orthogonal normalization of Young basis is given. By this method, the number of Young's permutation operators is reduced and the new Young tableau method of obtaining equivalent-electron Young basis is represented.