Effects of external fields on two-dimensional Klein-Gordon particle under pseudoharmonic oscillator interaction

TL;DR

This paper investigates how perpendicular magnetic and Aharonov-Bohm flux fields influence the energy levels of a 2D Klein-Gordon particle in a pseudoharmonic oscillator potential, providing exact solutions and exploring various limits.

Contribution

It presents exact analytical solutions for the energy eigenvalues and wave functions of a 2D Klein-Gordon particle under external fields with a pseudoharmonic oscillator potential, including non-relativistic limits.

Findings

Derived explicit energy eigenvalues and wave functions.

Analyzed effects of magnetic and AB flux fields on energy levels.

Explored non-relativistic and field-free limits.

Abstract

We study the effects of the perpendicular magnetic and Aharonov-Bohm (AB) flux fields on the energy levels of a two-dimensional (2D) Klein-Gordon (KG) particle subjects to equal scalar and vector pseudo-harmonic oscillator (PHO). We calculate the exact energy eigenvalues and normalized wave functions in terms of chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number by means of the Nikiforov-Uvarov (NU) method. The non-relativistic limit, PHO and harmonic oscillator solutions in the existence and absence of external fields are also obtained.