Computing Clebsch-Gordan matrices with applications in elasticity theory

TL;DR

This paper introduces an algorithm for computing Clebsch-Gordan coefficients for SO(3) representations and demonstrates its application in developing new models in anisotropic elasticity theory.

Contribution

The paper presents a novel algorithm for calculating Clebsch-Gordan coefficients and applies it to create new models in anisotropic elasticity theory.

Findings

Efficient algorithm for Clebsch-Gordan coefficients computation

Application of the algorithm to anisotropic elasticity models

New models in elasticity theory demonstrated

Abstract

We provide an algorithm of computing Clebsch-Gordan coefficients for irreducible representations, with integer weights, of the rotation group SO(3) and demonstrate the convenience of this algorithm for constructing new (to our knowledge) models in anisotropic elasticity theory.