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.
A new particle Σ * with J P = 1/2-was predicted by unquenched quark models with its mass around the well established Σ * (1385) with J P = 3/2 + .Here we re-examine some old data of the K￣p→Λπ*π + reaction.Firstly we re-fit the data for kaon beam momenta in the range of 1.0 - 1.8 GeV.Secondly we study the reaction at the energies around Λ*(1520) peak.Both studies show evidence for the existence of Σ*with J P = 1/2-around 1380 MeV.Higher statistic data on relevant reactions are needed to clarify the situation.
We study the Klein-Gordon oscillators in non-commutative (NC) phase space. We find that the Klein-Gordon oscillators in NC space and NC phase-space have a similar behaviour to the dynamics of a particle in commutative space moving in a uniform magnetic field. By solving the Klein-Gordon equation in NC phase space, we obtain the energy levels of the Klein-Gordon oscillators, where the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.
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.
