Abstract: | The Landau problem in non-commutative quantum mechanics (NCQM) is studied.First by solving the Schr(?)dinger equations on noncommutative (NC) space we obtain the Landau energy levels and the energy correction that is caused by space-space noncommutativity.Then we discuss the noncommutative phase space case,namely,space-space and momentum-momentum non-commutative case,and we get the explicit expression of the Hamiltonian as well as the corresponding eigenfunctions and eigenvalues. |