Non Commutativité de l’Espace et Les Différents Types d’Interactions
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Date
2025-04-25
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Abstract
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.
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Keywords
Schrödinger's equation, Hydrogen atom, Noncommutative space, Coulomb potential, Kratzer potential, Hydrogen-like atoms, Muonic atoms, Helium atom.