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

2015/01/28 by Abdelmalek Boumali, Hassan Hassanabadi · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1139/cjp-2014-0276

any comments are wellcome. arXiv admin note: text overlap with arXiv:quant-ph/0603077 by other authors

arxiv created 2015/01/28 · arxiv updated 2017/08/23

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.

Citations

• Generalized Deformed Commutation Relations with Nonzero Minimal Uncertainties in Position and/or Momentum and Applications to Quantum Mechanics

Cited by

• Two-dimensional Klein-Gordon Oscillator in the presence of a minimal length

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