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Abstract

The paper described the exact solutions of Schrödinger equation for diatomic molecules with pseudoharmonic potential (r) = D(-), it was solved by applying the Boopp's shift method to first order in the non-commutativity parameter and standard perturbation theory, the bound state energy (eigen values) found to be degenerate. It's shown that the noncommutative Hamiltonian (NC) described automatically a particle with spin (1/2) interacted with an external magnetic field, including the usual Zeeman effect in commutative space. Furthermore, I observed the NC Hamiltonian can be described automatically the spin-orbit interaction, I justified my results by calculate the absolute incertitude.

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