2009/03/23 by Sameer M. Ikhdair · 75 citations
Mathematics · Physics and Astronomy · #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Coulomb #Eigenvalues and eigenvectors #Electron #Energy spectrum #Geometry #Klein–Gordon equation #Magnetic field #Mathematical physics #Mathematics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar potential #Vector potential #Wave function #math-ph #math.MP
paper · pdf · doi:10.1140/epja/i2009-10758-9
published in The European Physical Journal A 40(2), 143-149 (Springer Science+Business Media) · 17 pages; to be published in European Journal of Physics A (2009)
arxiv created 2009/03/23 · openalex publication_date 2009/04/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the effect of spatially dependent mass functions over the solution of the Klein-Gordon equation in the (3+1)-dimensions for spinless bosonic particles where the mixed scalar-vector Coulomb-like field potentials and masses are directly proportional and inversely proportional to the distance from force center. The exact bound state energy eigenvalues and the corresponding wave functions of the Klein-Gordon equation for mixed scalar-vector and pure scalar Coulomb-like field potentials are obtained by means of the Nikiforov-Uvarov (NU) method. The energy spectrum is discussed for different scalar-vector potential mixing cases and also for constant mass case.