Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D

In this study, we investigate the effects of noncommutative Quantum Mechanics in three dimensions on energy levels a charged isotropic harmonic oscillator presence uniform magnetic field z-direction. The extension problem to proves be non-trivial. We obtain first-order corrections energy-levels closed form low limit weak noncommutativity. most important result can note is that all due noncommutativity are negative and their magnitude increase with increasing numbers field.