2014/01/01 by Sameer M. Ikhdair, S. M. Ikhdair, B. J. Falaye · 333 citations
Mathematics · Physics and Astronomy · #Coulomb #Dirac (video compression format) #Dirac equation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Parametric statistics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #Spectral Theory in Mathematical Physics #Spinor #Tensor (intrinsic definition) #Wave function #math-ph #math.MP #nucl-th #quant-ph
paper · pdf · doi:10.1140/epjp/i2014-14001-y
published in The European Physical Journal Plus 129(1) (Springer Science+Business Media) · 24 pages, 1 figure
openalex publication_date 2014/01/01 · arxiv created 2014/01/28 · arxiv updated 2014/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method. Taking an appropriate approximation to deal with the centrifugal term, the Dirac energy states and the corresponding normalized two-spinor components of the wave function are obtained in closed form. Some special cases of our solution are investigated. Furthermore, we present the correct solutions obtained via the asymptotic iteration method which are in agreement with the parametric Nikiforov-Uvarov method results.