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23 papers · 1 filter
Hall Effect in Noncommutative Coordinates
O. F. Dayi, A. Jellal
We consider electrons in uniform external magnetic and electric fields which move on a plane whose coordinates are noncommuting. Spectrum and eigenfunctions of the related Hamilton…
Dynamical evolution of clusters of galaxies: the effect of high- velocity substructure clumps
A. Del Popolo, M. Gambera, E. N. Ercan
In the Cold Dark Matter (hereafter CDM) scenario even isolated density peaks contain a high fraction of small scale clumps having velocities larger than the average escape velocity…
Macroscopic properties of A-statistics
A. Jellal, T. D. Palev, J. Van der Jeugt
A-statistics is defined in the context of the Lie algebra sl(n+1). Some thermal properties of A-statistics are investigated under the assumption that the particles interact only vi…
Coherent States for Generalized Laguerre Functions
Ahmed Jellal
We explicitly construct a Hamiltonian whose exact eigenfunctions are the generalized Laguerre functions. Moreover, we present the related raising and lowering operators. We investi…
Multi-Lagrangians for Integrable Systems
Y. Nutku, M. V. Pavlov
We propose a general scheme to construct multiple Lagrangians for completely integrable non-linear evolution equations that admit multi- Hamiltonian structure. The recursion operat…
Group foliation and non-invariant solutions of the heavenly equation
L. Martina, M. B. Sheftel, P. Winternitz
The main physical result of this paper are exact analytical solutions of the heavenly equation, of importance in the general theory of relativity. These solutions are not invariant…