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Factorization of Dirac Equation and Graphene Quantum Dot

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arxiv 1405.3672 v1 pith:CB2N44TB submitted 2014-05-14 cond-mat.mes-hall quant-ph

Factorization of Dirac Equation and Graphene Quantum Dot

Youness Zahidi , Ahmed Jellal , Hocine Bahlouli , Mohammed El Bouziani This is my paper
classification cond-mat.mes-hall quant-ph
keywords potentialquantumconfigurationdiracequationvariousaccommodateagreement
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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.

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