Developments on the Jordan-Schwinger construction and contraction for the $su_q(2)$
High Energy Physics - Theory
2015-05-15 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
The contraction and Jordan-Schwinger construction connect the and the heisenberg algebra, going in oposite directions. This persists in the q-deformed cases, but in a slightly different way. This work investigates this further, discussing some details and results found in the litterature and presenting some new ones, including a non-linear expression that leads the contraction back to the original q-boson algebra used in the Jordan-Schwinger construction.
Cite
@article{arxiv.1503.04232,
title = {Developments on the Jordan-Schwinger construction and contraction for the $su_q(2)$},
author = {R. Kullock},
journal= {arXiv preprint arXiv:1503.04232},
year = {2015}
}