Non-relativistic quantum systems on topological defects space-times

TL;DR

This paper investigates how non-relativistic quantum particles behave in space-times with topological defects like cosmic strings and monopoles, revealing altered energy spectra compared to free space.

Contribution

It provides new calculations of energy spectra for quantum particles in topologically non-trivial space-times, highlighting the effects of cosmic strings and monopoles.

Findings

Energy spectra are modified by topological defects.

Differences from free space spectra are quantified.

Potential implications for quantum systems in curved space-times.

Abstract

We study the behavior of non-relativistic quantum particles interacting with different potentials in the space-times generated by a cosmic string and a global monopole. We find the energy spectra in the presence of these topological defects and show how they differ from their free space-time values.