The Periodic Table in Flatland
| dc.creator | Negadi, T. | |
| dc.creator | Kibler, M. | |
| dc.date | 1995-12-02 | |
| dc.date.accessioned | 2026-07-07T09:07:31Z | |
| dc.date.available | 2026-07-07T09:07:31Z | |
| dc.description | The $D$-dimensional Coulomb system serves as a starting point for generating generalized atomic shells. These shells are ordered according to a generalized Madelung rule in $D$ dimensions. This rule together with an {\it Aufbau Prinzip} is applied to produce a $D$-dimensional periodic table. A model is developed to rationalize the ordering of the shells predicted by the generalized Madelung rule. This model is based on the introduction of an Hamiltonian, invariant under the $q$-deformed algebra $U_q($so$(D))$, that breaks down the SO($D+1$) dynamical symmetry of the hydrogen atom in $D$ dimensions. The $D=2$ case (Flatland) is investigated with some details. It is shown that the neutral atoms and the (moderately) positive ions correspond to the values $q=0.8$ and $q=1$, respectively, of the deformation parameter $q$. | |
| dc.description | 18 pages, Latex File, to be published in Int. J. Quantum Chem | |
| dc.identifier | https://arxiv.org/abs/atom-ph/9512001 | |
| dc.identifier | http://arxiv.org/abs/atom-ph/9512001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150398 | |
| dc.subject | Atomic Physics | |
| dc.subject | Chemical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | The Periodic Table in Flatland | |
| dc.type | text |