Physics – Atomic Physics
Scientific paper
1995-12-02
Physics
Atomic Physics
18 pages, Latex File, to be published in Int. J. Quantum Chem
Scientific paper
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 $q$.
Kibler Maurice
Negadi Tidjani
No associations
LandOfFree
The Periodic Table in Flatland does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Periodic Table in Flatland, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Periodic Table in Flatland will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-10535