Transformation coefficients of permutation groups

Abstract

The eigenfunction method is used to calculate the transformation coefficients 〈[ν]m‖[ν],τ[ν1][ν2]m1 m2〉 from the Yamanouchi basis of the permutation group Sf1+f2 to the Sf1+f2⊃Sf1⊗Sf2 irreducible basis. A program in fortran is written, and tables of the transformation coefficients for the permutation group Sf up to f=6 are given. Possible applications of the transformation coefficients are sketched.