Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations

We study the dynamics of the Dirac oscillator in a magnetic field. The Heisenberg algebra is constructed in detail in the noncommutative phase space in the presence of minimal length. By means of the Nikiforov–Uvarov method, the energy eigenvalues are obtained exactly and the corresponding wave functions, in momentum space, are expressed in terms of hypergeometric functions.