Les niveaux d’énergie produit par le potentiel inverseracine carrée dans l’espace phase non commutatif à trois dimensions
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Date
2017-05-31
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Université Mohamed BOUDIAF de M'Sila
Abstract
In this work, of master memory, in theoretical physics, (2016/2017), we have studied the
Schrödinger equation for inverse –square root 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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Keywords
Star product, noncommutative space and phase, inverse –square potential