Harmonic oscillator system in topologically charged Eddington-inspired Born-Infeld gravity space-time and Wu-Yang magnetic monopole

TL;DR

This paper explores the quantum behavior of a harmonic oscillator in a topologically charged EiBI gravity space-time with Wu-Yang magnetic monopole, revealing significant deviations from traditional models due to modified gravity and topological effects.

Contribution

It introduces an analytical study of a harmonic oscillator influenced by topologically charged EiBI gravity and Wu-Yang monopole, highlighting novel effects on energy spectra and eigenfunctions.

Findings

Altered bound-state spectra compared to standard quantum harmonic oscillator

Significant deviations in eigenfunctions due to modified gravity and topological charge

Insights into quantum systems within alternative gravitational frameworks

Abstract

We investigate the quantum dynamics of a harmonic oscillator (HO) system within the framework of topologically charged Eddington-inspired Born-Infeld (EiBI) gravity space-time. Additionally, we incorporate the Wu-Yang magnetic monopole (WYMM) into the quantum system and analyze the influences of modified gravity, the topological charge, and WYMM on this HO quantum mechanical system. Using analytical methods, we derive the energy eigenvalues and the corresponding eigenfunctions of the HO. Moreover, we consider a scenario where the EiBI-gravity parameter is absent and introduce an inverse square potential, including the WYMM, into the HO system. Our findings show significant deviations in the behavior of the HO system compared to the traditional quantum mechanical HO model, including alterations in the bound-state spectra and eigenfunctions. These results provide valuable insights into the interplay between quantum mechanical problems and alternative gravitational theories.