Miscellaneous Physical Applications of Quantum Algebras

1994/07/15 by Maurice Kibler, Kibler, Maurice
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9407084

16 pages, Tex

arxiv created 1994/07/15 · openalex publication_date 1994/07/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some ideas about phenomenological applications of quantum algebras to physics are reviewed. We examine in particular some applications of the algebras U_ q (su₂) and U_qp(\rm u₂) to various dynamical systems and to atomic and nuclear spectroscopy. The lack of a true (unique) q- or qp-quantization process is emphasized.

Related

• Introduction to Quantum Algebras
• An Introduction to Quantum Algebras and Their Applications
• Quantum algebraic symmetries in atomic clusters, molecules and nuclei
• On Quantum Groups and Their Potential Use in Mathematical Chemistry
• Quantum Algebras in Nuclear Structure