1998/04/17 by T. Barakat, Thabit Barakat, Maen Odeh +1 · 2 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/31/15/012
published as J. Phys. A 31 (1998) 3469 · 20 pages, Latex file
openalex publication_date 1998/04/17 · arxiv created 1999/10/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
A shifted- l expansion technique is introduced to calculate the energy eigenvalues for the Klein-Gordon (KG) equation with Lorentz vector and/or Lorentz scalar potentials. Although it applies to any spherically symmetric potential, those that include Coulomb-like terms are only considered. Exact eigenvalues for a Lorentz vector or a Lorentz scalar, and an equally mixed Lorentz vector and Lorentz scalar coulombic potentials are reproduced. Highly accurate and rapidly converging ground-state energies for Lorentz vector Coulomb with a Lorentz vector or a Lorentz scalar linear potential, , and and , respectively, are obtained. Moreover, a simple straightforward closed-form solution for a KG-particle in coulombic Lorentz vector and Lorentz scalar potentials is presented.