Polynomial-Type Analysis of SU(3) Group - Theoretical Quantities

摘要

Formula for the transformation matrix between canonical and non-canonical SU(3) basis in both lambda >= mu and lambda < mu cases are derived. Also derived is an expression for the isoscalar factor of SU(3) coupling coefficient, in the non-canonical chain, with one symmetric representation. Both expressions are put in a polynomial-type form suitable for coding computer programs to obtain explicit and exact algebraic expressions. A short tabulation of the expressions obtained by computer output is also presented. (Atomindex citation 17:017920)