On the (2+1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty
High Energy Physics - Theory
2015-02-12 v2 Quantum Physics
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.
Keywords
Cite
@article{arxiv.1412.1425,
title = {On the (2+1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty},
author = {P. Pedram and M. Amirfakhrian and H. Shababi},
journal= {arXiv preprint arXiv:1412.1425},
year = {2015}
}
Comments
11 pages, no figure