Energy Eigenvalues of Kemmer Equation for a Homogeneous Magnetic Field

TL;DR

This paper presents an algebraic approach to calculate the energy eigenvalues of a massive spin-1 particle in a uniform magnetic field, utilizing harmonic oscillator solutions for the wave functions.

Contribution

It introduces a novel algebraic method for deriving energy levels of spin-1 particles in magnetic fields, simplifying the calculation process.

Findings

Derived explicit energy eigenvalues for the system

Demonstrated the effectiveness of harmonic oscillator solutions

Provided a new algebraic framework for similar quantum systems

Abstract

This article illustrates a completely algebraic method to obtain the energy levels of a massive spin-1 particle moving in a constant magnetic field. In the process to obtain the energy levels the wave function was written by harmonic oscillator solutions.