By using star product method, the He–McKellar–Wilkens (HMW) effect for spin-one neutral particle on non- commutative (NC) space is studied. After solving the Kemmer-like equations on NC space, we obtain the topological HMW phase on NC space where the additional terms related to the space–space non-commutativity are given explicitly.
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.
