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In this study, we investigate the effects of noncommutative Quantum Mechanicsin three dimensions on the energy levels of a charged isotropic harmonicoscillator in the presence of a uniform magnetic field in the z-direction. Theextension of this problem to three dimensions proves to be non-trivial. Weobtain the first-order corrections to the energy-levels in closed form in thelow energy limit of weak noncommutativity. The most important result we cannote is that all energy corrections due to noncommutativity are negative andtheir magnitude increase with increasing Quantum numbers and magnetic field.

Energy corrections due to the Non-commutative Phase-Space of the Charged Harmonic Oscillator in a constant magnetic field in 3D