L’étude physique des niveaux d’énergies produit par le potentiel gravitationnel plus exponentiel dans l'espace-phase non commutatif à trois Dimensions
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Date
2017-05-31
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Abstract
In this work, of master memory, in theoretical physics, (2016/2017), we have studied the
Schrödinger equation for gravitational plus exponential potential in noncommutative three
dimensional spaces and phases by applying the Bopp's shift method to first order in the
noncommutative parameters ( , ), instead of using the star product method. We apply Bopp's shift
method to obtaining modified inverse –square root potential; and by applying standard perturbation
theory we obtain the modification energy levels of atoms with one electron, it has been observed that
the obtained energy spectra was changed radically, and replaced by degenerate new states, depending
on the discrete quantum atomic numbers: j , l and the spin of electron, these results produced from
spin-orbital interactions
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Star product, noncommutative space and phase, gravitational plus exponential potential. Paces number(s): 11.10.Nx, 32.30-r, 03.65-w.