Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states
Departamento de Física, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, 65080-805, São Luıs, MA, Brazil
2 Departamento de Física e Química, Universidade Estadual Paulista (UNESP), Campus de Guaratinguetá, 12516-410, Guaratinguetá, SP, Brazil
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Accepted: 12 February 2019
Published online: 3 June 2019
We point out a misleading treatment in the literature regarding bound-state solutions for the s-wave Klein-Gordon equation with exponential scalar and vector potentials. Following the appropriate procedure for an arbitrary mixing of scalar and vector couplings, we generalize earlier works and present the correct solution to bound states and additionally we address the issue of scattering states. Moreover, we present a new effect related to the polarization of the charge density in the presence of weak short-range exponential scalar and vector potentials.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019