Analytical formula for numerical evaluations of the Wigner rotation matrices at high spins
Nuclear Theory
2015-01-27 v1 Atomic Physics
Chemical Physics
Computational Physics
Abstract
The Wigner d function, which is the essential part of an irreducible representation of SU(2) and SO(3) parameterized with Euler angles, has been know to suffer from a serious numerical errors at high spins, if it is calculated by means of the Wigner formula as a polynomial of cos and sin of half of the second Euler angle. This paper shows a way to avoid this problem by expressing the d functions as the Fourier series of the half angle. A precise numerical table of the coefficients of the series is obtainable from a web site.
Keywords
Cite
@article{arxiv.1501.06347,
title = {Analytical formula for numerical evaluations of the Wigner rotation matrices at high spins},
author = {Naoki Tajima},
journal= {arXiv preprint arXiv:1501.06347},
year = {2015}
}
Comments
5 pages, 5 figures