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

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.

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

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Cited by in corpus (8)

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• 2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space
• (2 +1)-dimensional Duffin-Kemmer-Petiau oscillator under a magnetic field in the presence of a minimal length in the noncommutative space
• Zitterbewegung in Noncommutative Geometry
• The massless Dirac-Weyl equation with deformed extended complex potentials
• Algebraic solution and thermodynamic properties of graphene in the presence of minimal length
• Anyons in quantum mechanics with a minimal length