Neutral scalar particle in a charged wormhole background

RESUMO

We investigate the dynamics of a neutral scalar particle in a charged traversable wormhole background, considering harmonic and modified harmonic oscillator couplings. By solving the Klein--Gordon equation, the radial problem is reduced to a generalized Heun equation, whose polynomial truncation yields the bound-state energy spectrum and quantized oscillator frequencies. Although the particle is electrically neutral, the energy spectrum depends indirectly on the wormhole charge through the geometric deformation of spacetime. We also analyze the dependence of the oscillator frequency on the angular momentum, throat parameter, electric charge, and the additional interaction parameter $V_{0}$. The appropriate limits recover the corresponding results for the uncharged wormhole and the standard harmonic oscillator.