Slimane, Zaiem2024-07-122024-07-122019Slimane, Z. (2019). Non-commutative geometry and application to schrödinger equation with certain central potentials. International Conference of Mathematical Sciences (ICMS 2019). s. 176.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2834We obtain exact solutions of the 2D Schr¨odinger equation with the central potentials V (r) = ar2 + br?2 + cr?4 and V (r) = ar?1+br?2 in a non-commutative space up to the first order of noncommutativity parametert using the power-series expansion method similar to the 2D Schr¨odinger equation with the singular even-power and inverse-power potentials respectively in commutative space. We derive the exact non-commutative energy levels and show that the energy is shifted to m levels, as in the Zeeman effect.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessNon-commutative geometrySolutions of wave equationsBound statesAlgebraic methodsArticle177176