Exact solution of the two-dimensional Dirac oscillator
Victor M. Villalba
TL;DR
This paper derives the complete energy spectrum and eigenfunctions of the two-dimensional Dirac oscillator, revealing the dependence of the energy levels on the particle's spin.
Contribution
It provides an exact analytical solution for the 2D Dirac oscillator, including energy spectrum and eigenfunctions, highlighting spin dependence.
Findings
Energy spectrum depends on particle spin
Eigenfunctions are explicitly derived
Complete solution for 2D Dirac oscillator
Abstract
In the present article we have found the complete energy spectrum and the corresponding eigenfunctions of the Dirac oscillator in two spatial dimensions. We show that the energy spectrum depends on the spin of the Dirac particle.
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