Miscellaneous Physical Applications of Quantum Algebras

TL;DR

This paper reviews how quantum algebras like U_q(su_2) and U_{qp}(u_2) are applied to physical systems such as atomic and nuclear spectroscopy, highlighting the absence of a unique quantization process.

Contribution

It provides a survey of phenomenological applications of quantum algebras to dynamical systems and spectroscopy, emphasizing the lack of a definitive quantization method.

Findings

Quantum algebras are applied to various physical systems.

There is no unique q- or qp-quantization process.

Applications include atomic and nuclear spectroscopy.

Abstract

Some ideas about phenomenological applications of quantum algebras to physics are reviewed. We examine in particular some applications of the algebras $U_ q (su_2)$ and $U_{qp}({\rm u}_2)$ to various dynamical systems and to atomic and nuclear spectroscopy. The lack of a true (unique) $q$- or $qp$-quantization process is emphasized.