Abstract
In this paper we solve analytical the position-dependent effective mass Klein–Gordon equation for modified Eckart potential plus Hulthen potential with unequal scalar and vector potential for l≠0. The Nikiforov-Uvarov (NU) method is used to obtain the energy eigenvalues and wave functions. We also discuss the energy eigenvalues and wave functions for the constant-mass case. The wave functions of the system are taken in the form of the Laguerre polynomials. The results are the exact analytical. The energy eigenvalues and wave functions are interesting for experimental physicists. Key words: Klein–Gordon equation, modified Eckart potential plus Hulthen potential, Nikiforov-Uvarov (NU) method, position-dependent mass.
Highlights
The description of phenomena at higher energy requires the investigation of a relativistic wave equation
The energy eigenvalues and wave functions are interesting for experimental physicists
The near realization of these symmetries may explain degeneracies in some heavy meson spectra or in singleparticle energy levels in nuclei, when these physical systems are described by relativistic mean-field theories (RMF) with scalar and vector potentials (Ginocchio, 2005; Feizi et al, 2013; Alberto et al, 2013)
Summary
Solutions of the Klein-Gordon equation for l≠0 with position-dependent mass for modified Eckart potential plus Hulthen potential. In this paper we solve analytical the position-dependent effective mass Klein–Gordon equation for modified Eckart potential plus Hulthen potential with unequal scalar and vector potential for l≠0. The Nikiforov-Uvarov (NU) method is used to obtain the energy eigenvalues and wave functions. We discuss the energy eigenvalues and wave functions for the constant-mass case. The wave functions of the system are taken in the form of the Laguerre polynomials. The energy eigenvalues and wave functions are interesting for experimental physicists
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