The Dynamical Algebra of the Hydrogen Atom as a Twisted Loop Algebra
| dc.creator | Daboul, C. | |
| dc.creator | Daboul, J. | |
| dc.creator | Slodowy, P. | |
| dc.date | 1994-08-14 | |
| dc.date | 1994-08-14 | |
| dc.date.accessioned | 2026-07-07T09:03:44Z | |
| dc.date.available | 2026-07-07T09:03:44Z | |
| dc.description | We show that the dynamical symmetry of the hydrogen atom leads in a natural way to an infinite-dimensional algebra, which we identify as the positive subalgebras of twisted Kac-Moody algebras of $ so(4)$. We also generalize our results to the $N$-dimensional hydrogen atom. For odd $N$, we identify the dynamical algebra with the positive part of the twisted algebras $\hat {so}(N+1)^τ$. However, for even $N$ this algebra corresponds to a parabolic subalgebra of the untwisted loop algebra $\hat{so}(N+1)$. | |
| dc.description | LATEX 4 pages. Based on a talk given by J. DABOUL at the at the XX International Colloquium on ``Group Theoretical Methods in Physics", Osaka, July 3-9, 1994} | |
| dc.identifier | https://arxiv.org/abs/hep-th/9408080 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9408080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149124 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Dynamical Algebra of the Hydrogen Atom as a Twisted Loop Algebra | |
| dc.type | text |