# Effects of the Cornell-type potential on a position-dependent mass system in Kaluza-Klein theory

## TL;DR

This paper studies how a Cornell-type potential affects a scalar particle with position-dependent mass in a Kaluza-Klein background, revealing quantum effects related to magnetic field dependence on quantum numbers.

## Contribution

It introduces a novel analysis of a position-dependent mass system with Cornell potential within Kaluza-Klein theory, deriving relativistic energy levels and quantum effects.

## Key findings

- Relativistic energy spectrum derived for the system.
- Quantum effects show magnetic field dependence on quantum numbers.
- Particular cases reveal unique bound state behaviors.

## Abstract

In this paper, we have investigated a scalar particle with position-dependent mass subject to a uniform magnetic field and a quantum flux, both coming from the background which is governed by the Kaluza-Klein theory. By modifying the mass term of the scalar particle, we insert the Cornell-type potential. In the search for solutions of bound states we determine the relativistic energy profile of the system in this background of extra dimension. Particular cases of this system are analyzed and a quantum effect can be observed: the dependence of the magnetic field on the quantum numbers of the solutions.