International Journal Of Modern Physics A, vol.1, no.1, pp.1-10, 2022 (SCI-Expanded)
In this paper, we investigate the influence of the background of a cosmic string spacetime with a distortion of a radial line into a spiral on the interaction of the scalar field with a Cornell-type non-minimal coupling subject to a special static scalar potential. The special static scalar potential consists of radial oscillator harmonics potential and radial inverse-square potential. In order to study such a system based on the Katanaev-Volovich geometric approach, we acquire relativistic solutions corresponding to the generalized Klein-Gordon quantum oscillator for relativistic charged spin-zero boson particles using analytical methods in this background.