Effects of [formula omitted]-dimensional circularly symmetric and static traversable wormhole with cosmic string on oscillator field

Abstract

In this study, we examine the relativistic quantum dynamics of an oscillator field described by the Klein–Gordon equation in a circularly symmetric and static (1+2)-dimensional traversable wormhole space–time with cosmic strings. We derive the radial equation for the Klein–Gordon oscillator in this wormhole background and solved it using special functions. For specific cases, we present the ground state energy level E1,ℓ± and wave function ψ1,ℓ of the oscillator field, subject to a constraint on the oscillator frequency ω1,ℓ. In fact, it is shown that the eigenvalue solution of the oscillator field is influenced by both the cosmic string parameter α and the wormhole throat radius a, leading to shifts in the energy levels and wave functions.