Relativistic Hydrogen-Like Atom on a Noncommutative Phase Space
arXiv:1202.2522
Abstract
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 θand the \barθmodified 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 θ-correction. And the \barθ-correction shifts these energy levels.
7 pages, 1 figure