Relativistic Hydrogen-Like Atom on a Noncommutative Phase Space
  The energy levels of hydrogen-like atom on a noncommutative phase space were studied in the framework of relativistic quantum mechanics. The leading order corrections to energy levels 2S_{1/2}, 2P_{1/2} and 2P_{3/2} were obtained by using the \theta and the \bar\theta modified Dirac Hamiltonian of hydrogen-like atom on a noncommutative phase space. The degeneracy of the energy levels 2P_{1/2} and 2P_{3/2} were removed completely by \theta-correction. And the \bar\theta-correction shifts these energy levels. 
Huseyin Masum, Sayipjamal Dulat and Mutallip Tohti
math-ph math.MP