Abstract: Within the scope of noncommutative quantum mechanics, we study the Landau problem for neutral atoms in the presence of an external electromagnetic field. By solving the time independent Sehrodinger equations in both noncommutative space and noncommutative phase space, we obtain explicit experession of Landau energy levels and corresponding eigenfunctions, at the asme time, we claculate the energy correction terms caused by noncommutativity, respectively.

Key words: Landau quantization, neutral atom, noncommutative space, noncommutative phase space