YOUNG OPERATOR METHODS FOR FERMION SYSTEMS

Citation
Yx. Yu et al., YOUNG OPERATOR METHODS FOR FERMION SYSTEMS, Theoretica Chimica Acta, 94(3), 1996, pp. 125-141
Citations number
19
Categorie Soggetti
Chemistry Physical
Journal title
ISSN journal
00405744
Volume
94
Issue
3
Year of publication
1996
Pages
125 - 141
Database
ISI
SICI code
0040-5744(1996)94:3<125:YOMFFS>2.0.ZU;2-K
Abstract
Alternative methods to the standard Young technique for the constructi on of Fermion wave functions in the spin orbital formalism are present ed and shown to be equivalent to the standard technique. To develop th ese methods: (i) the starting or primitive function is factored into s pin and spatial parts, (ii) the conjugacy feature required to satisfy the antisymmetry principle is exploited, (iii) the necessary commutati on relations with the Fermion antisymmetrizer are shown to hold and (i v) the one-to-one correspondence between the independent picture of th e Young tableaux and the independent Slater determinants is used. This last feature has the advantage of reducing all three methods to rapid efficient graphical procedures. Each method is analyzed to consider t he amount of labor involved to carry it out. Several examples of the m ethods are given for constructing both electronic wave functions and s pin functions.