Relativistic Hydrogen-Like Atom on a Noncommutative Phase Space

2012/02/12 by Huseyin Masum, Masum, Huseyin, Sayipjamal Dulat +3
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1202.2522

7 pages, 1 figure

arxiv created 2012/02/12 · openalex publication_date 2012/02/12 · arxiv updated 2012/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 θmodified 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 θ-correction shifts these energy levels.

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