Abstract
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.
Highlights
Research ArticleAlgebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space
Study on Dirac oscillator as an important potential has attracted a lot of attention and has found many physical applications in various branches of physics [1,2,3,4,5,6]
The Dirac oscillator was introduced for the first time by Itoet al. [7], in which the momentum →p in Dirac equation is replaced by →p − im0ωβ→r, where→r is the position vector and m0, ω, and βare the mass of particle, the frequency of the oscillator, and the usual Dirac matrices, respectively
Summary
Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space. Received 28 April 2017; Revised 6 August 2017; Accepted 11 September 2017; Published 17 October 2017. 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
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