Abstract
In the present study, Kummer's eigenvalue spectra from a charged spinless particle located at spherical pseudo-dot of the form r²+1/r² is reported. Here, it is shown how confluent hypergeometric functions have principal quantum numbers for considered spatial confinement. To study systematically both constant rest-mass, m₀c² and spatial-varying mass of the radial distribution m₀c²+S(r), the Klein-Gordon equation is solved under exact case and approximate scenario for a constant mass and variable usage, respectively. The findings related to the relativistic eigenvalues of the Klein-Gordon particle moving spherical space show the dependence of mass distribution, so it has been obtained that the energy spectra has bigger eigenvalues than m₀=1 fm⁻¹ in exact scenario. Following analysis shows eigenvalues satisfy the range of E<m₀ through approximate scenario.