BENYETTOU, Houda2019-02-192019-02-192017-05-31http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/8272In 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.frStar product, noncommutative space and phase, inverse –square potentialThesis