Factorization of Dirac Equation and Graphene Quantum Dot
Mesoscale and Nanoscale Physics
2015-06-19 v1 Quantum Physics
Abstract
We consider a quantum dot described by a cylindrically symmetric 2D Dirac equation. The potentials representing the quantum dot are taken to be of different types of potential configuration, scalar, vector and pseudo-scalar to enable us to enrich our study. Using various potential configurations, we found that in the presence of a mass term an electrostatically confined quantum dot can accommodate true bound states, which is in agreement with previous work. The differential cross section associated with one specific potential configuration has been computed and discussed as function of the various potential parameters.
Keywords
Cite
@article{arxiv.1405.3672,
title = {Factorization of Dirac Equation and Graphene Quantum Dot},
author = {Youness Zahidi and Ahmed Jellal and Hocine Bahlouli and Mohammed El Bouziani},
journal= {arXiv preprint arXiv:1405.3672},
year = {2015}
}
Comments
20 pages, 8 figures. arXiv admin note: text overlap with arXiv:1107.0113 by other authors