On Rotations as Spin Matrix Polynomials
Mathematical Physics
2015-06-22 v2 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
Recent results for rotations expressed as polynomials of spin matrices are derived here by elementary differential equation methods. Structural features of the results are then examined in the framework of biorthogonal systems, to obtain an alternate derivation. The central factorial numbers play key roles in both derivations.
Cite
@article{arxiv.1408.0767,
title = {On Rotations as Spin Matrix Polynomials},
author = {T. L. Curtright and T. S. Van Kortryk},
journal= {arXiv preprint arXiv:1408.0767},
year = {2015}
}
Comments
6 Figures. References updated in v2, along with some editing of text