Quantum bound states of a Landau-type system for a moving electric quadrupole moment under the Kratzer potential in both commutative and noncommutative spaces

Abstract

Bound states solutions and radial wave functions of a Landau system for a moving neutral particle that possesses an electric quadrupole moment under the Kratzer potential are obtained in commutative and noncommutative spaces. In both spaces, it is shown that the energy levels of bound states and the angular frequency are modified and become determined by the quantum numbers of the system, the parameters associated with the Kratzer potential, and particularly by the noncommutativity parameter $$\theta $$ for the case of noncommutative spaces. The noncommutative corrections to the energy levels of bound states due to space noncommutativity effects are also obtained using the first-order perturbation theory.