Reduced SU(3) CFP's

Abstract

A new SU(3) reduced matrix element package, which exploits logical operations and bit manipulation procedures in implementing a fermion second-quantized formulation for calculating matrix elements of SU(3)-coupled products of creation and annihilation operators (a†, a†a†, a, aa, a†a, a†a†a, a †aa, a†a†aa), is introduced. The reduced matrix elements are extracted from full matrix elements of the coupled operators. Since the reduced matrix elements do not depend on the subgroup chain, the evaluation is carried out in the SU(3) ⊃ SU(2) ⊗ U(1) basis as it is the simplest to use. The results can be extended to more complicated operator forms, either indirectly through the use of SU(3) and SU(2) recoupling procedures or directly by a straightforward extension of routines that are part of the current package.