Aharonov-Bohm effect on the generalized Duffin-Kemmer-Petiau oscillator in the Som-Raychaudhuri space-time

TL;DR

This paper investigates the effects of electromagnetic interactions and space-time parameters on the energy levels of a generalized DKP oscillator in Som-Raychaudhuri space-time, revealing an Aharonov-Bohm-like effect on bound states.

Contribution

It introduces a generalized DKP oscillator model in curved space-time with electromagnetic interactions, analyzing how various parameters influence energy eigenvalues and bound states.

Findings

Energy eigenvalues depend on space-time and potential parameters.

A Aharonov-Bohm-like effect influences bound states.

Electromagnetic interactions modify the oscillator's energy spectrum.

Abstract

The generalized Duffin-Kemmer-Petiau (DKP) oscillator with electromagnetic interactions in the curved space-times are investigated. We introduce firstly the generalized DKP oscillator in Som-Raychaudhuri space-time with Cornell potential. Then, we consider the electromagnetic interactions into the generalized DKP oscillator. The energy eigenvalues and eigenfunction of our problem are obtained. The effect from the parameters of space-time, the frequency of oscillator, the Cornell potential and the magnetic flux on the energy eigenvalues have been analyzed. We find a analogs effect for the bound states from the Aharonov-Bohm effect in our considered system.