Rahmani abdelhamid, Ziani oussama Enc/ Abdelmadjid MAIRECHE2025-11-192025-11-192025https://repository.univ-msila.dz/handle/123456789/47810In our work on this master memory, in theoretical physics (2024/2025): A study of a nonrelativistic energy spectrum produced with an isotropic potential in the framework of extended quantum mechanics symmetries: the case of inversely quadratic Yukawa and inversely quadratic Hellmann potential. We have studied the Schrˆdinger equation with the inversely quadratic Yukawa and inversely quadratic Hellmann potential in noncommutative three-dimensional spaces, by applying the Boopís Shift method to the Örst order of the parameters , in addition to the standard perturbation theory, to obtain the spectrum of energy of the system, which is changing radically, and replaced by degenerate new states depending on the discrete atomic quantum numbers (j; n; l; s). This result was produced by the spin-orbit interaction.enSchrˆdinger equationinversely quadratic Yukawa and inversely quadratic Hellmann potentialnoncommutative quantum mechanicsstar productBoopís shift method.Thesis