Open AccessThe equal probability comparison method of determining the equivalent-electron Young basis
Author(s) -
HU Kun-ming
Publication year - 2008
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.57.6074
Subject(s) - normalization (sociology) , operator (biology) , permutation (music) , basis (linear algebra) , symmetric function , mathematics , pure mathematics , state (computer science) , algebra over a field , physics , algorithm , geometry , biochemistry , chemistry , repressor , sociology , anthropology , transcription factor , acoustics , gene
The concepts of the basic symmetric operator and complete symmetric operator of the equivalent-electron regular Young tableau Tλig are presented, and the concepts of the root state and generative state generated by these symmetric operators acting on each Slater function i are also given. Based on the establishment rules of the vertical permutation operator Aλig of the orthogonal normalization Young tableau Tλie, the symmetric operators in Aλie and the equiprobability comparison method for solving Tλie are presented, which can avoid the complicated algebra involving many operators. Finally, a new method for sloving the Young basis of the electron system with a large N is presented.