65 citations · 585 across the 65 of their papers we have counts for
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On the use of the group SO(4,2) in atomic and molecular physics
Maurice Robert Kibler
In this paper the dynamical noninvariance group SO(4,2) for a hydrogen-like atom is derived through two different approaches. The first one is by an established traditional ascent…
A q-deformed Aufbau Prinzip
Tidjani Negadi, Maurice Kibler
A building principle working for both atoms and monoatomic ions is proposed in this Letter. This principle relies on the q-deformed chain SO(4) > G where G = SO(3)_q.
On the q-analogue of the hydrogen atom
Maurice Robert Kibler, Tidjani Negadi
The discrete spectrum of a q-analogue of the hydrogen atom is obtained from a deformation of the Pauli equations. As an alternative, the spectrum is derived from a deformation of t…
On a group-theoretical approach to the periodic table of chemical elements
Maurice Robert Kibler
This paper is concerned with the application of the group SO(4,2)xSU(2) to the periodic table of chemical elements. It is shown how the Madelung rule of the atomic shell model can…
Periodicity and Quasi-Periodicity for Super-Integrable Hamiltonian Systems
Maurice Robert Kibler, Pavel Winternitz
Classical trajectories are calculated for two Hamiltonian systems with ring shaped potentials. Both systems are super-integrable, but not maximally super-integrable, having four gl…
On an Alternative Parametrization for the Theory of Complex Spectra
Maurice Robert Kibler, Jacob Katriel
The purpose of this letter is threefold : (i) to derive, in the framework of a new parametrization, some compact formulas of energy averages for the electrostatic interaction withi…