Relativistic Hydrogen-Like Atom on a Noncommutative Phase Space
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 2S1/2, 2P1/2 and 2P3/2 were obtained by using the θ and the θ modified Dirac Hamiltonian of hydrogen-like atom on a noncommutative phase space. The degeneracy of the energy levels 2P1/2 and 2P3/2 were removed completely by θ-correction. And the θ-correction shifts these energy levels.
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