Doctoral dissertations

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Open Access
Non Commutativité de l’Espace et Les Différents Types d’Interactions
(2025-04-25) Debabi Mourad
In this thesis, we studied the effects of noncommutative geometry in quantum theory by solving the Schrödinger equation for different types of potentials. Using the Bopp shift displacement method, we treated the noncommutative parameter 𝜽 as a time-independent perturbation. Applying this approach to Kratzer potentials and hydrogen-like atoms, in particular muonic atoms and helium atoms, we have shown by analytical methods that non-commutative space leads to solutions that differ from those in commutative space, thereby changing the energy levels.
Open Access
Non Commutativité de l’Espace et Les Différents Types d’Interactions
(University of M'Sila, 2025-04-09) Debabi Mourad
In this thesis, we studied the effects of noncommutative geometry in quantum theory by solving the Schrödinger equation for different types of potentials. Using the Bopp shift displacement method, we treated the noncommutative parameter 𝜽 as a time-independent perturbation. Applying this approach to Kratzer potentials and hydrogen-like atoms, in particular muonic atoms and helium atoms, we have shown by analytical methods that non-commutative space leads to solutions that differ from those in commutative space, thereby changing the energy levels.