Miscellaneous Physical Applications of Quantum Algebras

Abstract

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

16 pages, Tex