An alternative model for the Duffin-Kemmer-Petiau oscillator

TL;DR

This paper introduces a new relativistic oscillator model based on the Duffin-Kemmer-Petiau equation, featuring exact solutions, high degeneracy, and unique properties like absence of spin-orbit interaction and a different zero-point energy.

Contribution

It proposes a novel oscillator model with a different non-minimal substitution, providing exact solutions and distinct physical properties compared to existing models.

Findings

Exact solutions with high degeneracy

No spin-orbit interaction in the model

Different zero-point energy value

Abstract

A new oscillator model with different form of the non-minimal substitution within the framework of the Duffin-Kemmer-Petiau equation is offered. The model possesses exact solutions and a discrete spectrum of high degeneracy. The distinctive property of the proposed model is the lack of the spin-orbit interaction, being typical for other relativistic models with the non-minimal substitution, and the different value of the zero-point energy in comparison with that for the Duffin-Kemmer-Petiau oscillator described in the literature.