# Numerical and symbolic calculation of the multipole matrix elements in the axial and triaxial harmonic oscillator basis

## Description

Abstract General expressions for matrix elements of the electric multipole operators in axial and triaxial harmonic oscillator basis are given. In each case we present algorithms which are either well suited for efficient numerical evaluation or for algebraic manipulation, using symbols representing the quantum numbers and the oscillator lengths. A Mathematica program using the symbolic algorithm is also presented. In the axial case, a function which provides the selection rules is implemented, thus b... Title of program: MLM Catalogue Id: ADEF_v1_0 Nature of problem The expressions of the multipole operators Qlambda mu are calculated in the axial and triaxial harmonic oscillator basis. The selection rules for the axial case are also implemented. Versions of this program held in the CPC repository in Mendeley Data ADEF_v1_0; MLM; 10.1016/S0010-4655(96)00105-1 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)