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arXiv · 1501.07041

Exact solutions of the (2+1) -dimensional Dirac oscillator under a magnetic field in the presence of a minimal length in the noncommutative phase-space

Abdelmalek Boumali·Hassan Hassanabadi
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Abstract

We consider a two-dimensional Dirac oscillator in the presence of magnetic field in noncommutative phase space in the framework of relativistic quantum mechanics with minimal length. The problem in question is identified with a Poschl-Teller potential. The eigenvalues are found and the corresponding wave functions are calculated in terms of hypergeometric functions.

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Abdelmalek Boumali, Hassan Hassanabadi. 2015-01-28. Exact solutions of the (2+1) -dimensional Dirac oscillator under a magnetic field in the presence of a minimal length in the noncommutative phase-space. https://doi.org/10.1139/cjp-2014-0276

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