Quantum Behavior of a Moving Magnetic Quadrupole Moment in the Presence of Harmonic Oscillator and External Fields Within Noncommutative Space

Quantum aspects of a moving neutral particle possessing a magnetic quadrupole moment that interacts with an axial electric field in the presence of a two-dimensional harmonic oscillator are investigated in the background of noncommutative space. The energy levels of bound states and the corresponding wave functions are obtained using analytical method. It is shown that the effects of space noncommutativity and harmonic oscillator modify the spectrum of energy and remove the degeneracy of the Landau-type system. Furthermore, solutions of bound states as well as the associated wave functions are also investigated in the context of noncommutative space when the magnetic quadrupole moment interacts with a radial magnetic field under the two-dimensional harmonic oscillator using the Frobenius method. As quantum effect, it is shown that the harmonic oscillator frequency becomes determined by the quantum numbers of the system and by the noncommutativity parameter $$\theta $$ . In order to show the effects of space noncommutativity on the system, some figures are also presented.