Analytical solution of the Klein-Gordon equation under the Coulomb-like scalar plus vector potential with the Laplace transforms approach

Authors: EBRAHIM MOMTAZI, ALI AKBAR RAJABI, BENTOL HODA YAZARLOO, HASSAN HASSANABADI

Abstract: In this paper, analytical solution of the Klein-Gordon equation with Coulomb-like scalar plus vector potentials is obtained exactly. We considered the Laplace transform approach in our calculation. The exact bound state energy eigenvalues and the corresponding eigenfunctions are reported for various values of the quantum numbers n and l.

Keywords: Coulomb-like potential, Klein-Gordon equation, Laplace transforms approach

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