5 papers
Classical Trajectories for two Ring-Shaped Potentials
M. Kibler, G. -H. Lamot, P. Winternitz
This paper deals with the classical trajectories for two super-integrable systems: a system known in quantum chemistry as the Hartmann system and a system of potential use in quant…
Coulomb Energy Averaged over the -Atomic States with a Definite Spin
M. Kibler, Yu. F. Smirnov
A purely group-theoretical approach (for which the symmetric group plays a central rôle), based upon the use of properties of fractional-parentage coefficients and isoscalar factor…
The Periodic Table in Flatland
T. Negadi, M. Kibler
The -dimensional Coulomb system serves as a starting point for generating generalized atomic shells. These shells are ordered according to a generalized Madelung rule in dim…
On a Generalized Kepler-Coulomb System: Interbasis Expansions
M. Kibler, L. G. Mardoyan, G. S. Pogosyan
This paper deals with a dynamical system that generalizes the Kepler-Coulomb system and the Hartmann system. It is shown that the Schrödinger equation for this generalized Kepler-C…
Some Aspects of -Boson Calculus
Yu. F. Smirnov, M. R. Kibler
The content of this work is concerned with Jordan-Schwinger calculus using -deformed bosons.