Harmonic oscillator problem in the background of a topologically charged Ellis-Bronnikov-type wormhole(a)

In this paper, we study the quantum dynamics of non-relativistic particles in the background of a topological chagred Ellis-Bronnikov-type wormhole space-time. We derived the radial wave equation and obtain the eigenvalue solution through the confluent Heun equation. Afterwards, we study the harmonic oscillator problem in the same wormhole background and solve the wave equation using the same technique. In both cases, the ground state energy level E-1,E-l and the wave function psi(1,l) are presented. Finally, we analyze the results and show that the eigenvalue solutions are influenced by the topological defect parameter a and the wormhole throat radius a = const and get them modified. Copyright (c) 2023 EPLA