The Klein-Gordon Equation for the Coulomb Potential in Non-commutative Space

2009/11/25 by Amin Rezaei Akbarieh, Akbarieh, Amin Rezaei, Hossein Motavalli +1
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0911.4929

arxiv created 2009/11/25 · openalex publication_date 2009/11/25 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper the stationary Klein-Gordon equation is considered for the Coulomb potential in non-commutative space. The energy shift due to noncommutativeity is obtained via the perturbation theory. Furthermore, we show that the degeneracy of the initial spectral line is broken in transition from commutative space to non-commutative space.

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