Algebraic approach to exact solution of the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space

TL;DR

This paper employs an algebraic method to exactly solve the (2+1)-dimensional Dirac oscillator in noncommutative phase space, deriving energy spectra and wave functions, and confirming consistency with prior results.

Contribution

It introduces an algebraic approach using sl(2) algebraization to solve the Dirac oscillator in noncommutative space, providing exact solutions.

Findings

Energy eigenvalues obtained via algebraic method

Wave functions explicitly derived

Results agree with previous methods

Abstract

In this paper we study the (2 + 1)-dimensional Dirac oscillator in the noncommutative phase space and the energy eigenvalues and the corresponding wave functions of the system are obtained through the sl(2) algebraization. It is shown that the results are in good agreement with those obtained previously via a different method.