The finite transformations of the group SU(3)

✍ Scribed by S.Datta Majumdar; Biplab Kumar Basu

• Publisher: Elsevier Science
• Year: 1970
• Tongue: English
• Weight: 420 KB
• Volume: 56
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(70)90026-6

✦ Synopsis

Representations of finite transformations of the group W(3) are obtained by breaking up the elements into simpler factors. Some of the factors belong to the fully reduced W(2) subgroup and are represented by ordinary rotation matrices. Amongst the other factors there are two numerical matrices, (I *iOJ. Representations of these are obtained by subjecting the variables of a basic state to the appropriate transformation and expanding the function so obtained in a series of the basic states. The expansion coefficients involve generalized hypergeometric series of the 4F3(1) type which are shown to be multiples of 6-j symbols.