A Compact Formula for Rotations as Spin Matrix Polynomials (original) (raw)

ADS

;

• Fairlie, David B. ;
• Zachos, Cosmas K.

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.

Publication:

SIGMA

Pub Date:

August 2014

DOI:

10.3842/SIGMA.2014.084

10.48550/arXiv.1402.3541

arXiv:

arXiv:1402.3541

Bibcode:

2014SIGMA..10..084C

Keywords:

• spin matrices; matrix exponentials;
• Mathematical Physics;
• High Energy Physics - Theory;
• Quantum Physics

E-Print:

SIGMA 10 (2014), 084, 15 pages