A Compact Formula for Rotations as Spin Matrix Polynomials
Mathematical Physics
2017-03-07 v5 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple explicit result exhibits connections between group theory, combinatorics, and Fourier analysis, especially in the large spin limit. Salient intuitive features of the formula are illustrated and discussed.
Cite
@article{arxiv.1402.3541,
title = {A Compact Formula for Rotations as Spin Matrix Polynomials},
author = {Thomas L. Curtright and David B. Fairlie and Cosmas K. Zachos},
journal= {arXiv preprint arXiv:1402.3541},
year = {2017}
}