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

DOI

10.3906/fiz-1305-7

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

First Page

81

Last Page

85

Recommended Citation

MOMTAZI, EBRAHIM; RAJABI, ALI AKBAR; YAZARLOO, BENTOL HODA; and HASSANABADI, HASSAN (2014) "Analytical solution of the Klein-Gordon equation under the Coulomb-like scalar plus vector potential with the Laplace transforms approach," Turkish Journal of Physics: Vol. 38: No. 1, Article 9. https://doi.org/10.3906/fiz-1305-7
Available at: https://journals.tubitak.gov.tr/physics/vol38/iss1/9