paper

On Rotations as Spin Matrix Polynomials

arXiv:1408.0767 · doi:10.1088/1751-8113/48/2/025202

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.

6 Figures. References updated in v2, along with some editing of text

On Rotations as Spin Matrix Polynomials · wovepaper