On the (2+1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty

Abstract

We exactly solve the (2+1)-dimensional Dirac equation in a constant magnetic field in the presence of a minimal length. Using a proper ansatz for the wave function, we transform the Dirac Hamiltonian into two 2-dimensional non-relativistic harmonic oscillator and obtain the solutions without directly solving the corresponding differential equations which are presented by Menculini et al. [Phys. Rev. D 87, 065017 (2013)]. We also show that Menculini et al. solution is a subset of the general solution which is related to the even quantum numbers.

arXiv comment11 pages, no figure

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Cited by in corpus (6)

• GUP Modified Hawking Radiation in Bumblebee Gravity
• Spin operator, Bell nonlocality and Tsirelson bound in quantum-gravity induced minimal-length quantum mechanics
• Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator under an external magnetic field in the presence of a minimal length
• The GUP effect on tunnelling of massive vector bosons from the 2+1 dimensional black hole
• The minimal length and the Shannon entropic uncertainty relation
• Exact continuity equation in a space with minimal length