2012/11/30 by P. G. Castro, R. Kullock
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1007/s11232-015-0372-1
10 pages; major changes to section 3
arxiv created 2015/03/05 · crossref issued 2015/11/01 · crossref published 2015/11/01 · crossref published-print 2015/11/01 · openalex publication_date 2015/11/01 · crossref published-online 2015/12/08 · crossref created 2015/12/08 · arxiv updated 2015/12/14 · openalex created_date 2016/06/24 · crossref deposited 2026/04/06 · openalex updated_date 2026/07/28 · crossref indexed 2026/07/31
In this work we investigate the q-deformation of the so(4) dynamical symmetry of the hydrogen atom using the theory of the quantum group suq(2). We derive the energy spectrum in a physically consistent manner and find a degeneracy breaking as well as a smaller Hilbert space. We point out that using the deformed Casimir as was done before leads to inconsistencies in the physical interpretation of the theory.