The Fock-Darwin system is studied in noncommutative quantum mechanics.We not only obtain its energy eigenvalues and eigenstates in noncommutative phase space,but also give an electron orbit description as well as the general expressions of the magnetization and the susceptibility in a noncommutative situation.Further,we discuss two particular cases of temperature and present some interesting results different from those obtained from usual quantum mechanics such as the susceptibility dependent on a magnetic field at high temperatures,the occurrence of the magnetization in a zero magnetic field and zero temperature limit,and so on.
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.
