▎ 摘 要
We study graphene in a two-dimensional dynamical noncommutative (NC) space in the presence of a constant magnetic field. The model is solved using perturbation theory and to the second-order of perturbation. The energy levels of the system are calculated and the corresponding eigenstates are obtained. For all cases, the energy shift depends on the dynamical NC (DNC) parameter tau. Using the accuracy of energy measurement, we put an upper bound on the noncommutativity parameter tau. In addition, we investigate some of the thermodynamic quantities of the system at zero temperature limit and extreme relativistic case, which reveals interesting differences between nondynamical and DNC spaces.