1-D Dirac Equation, Klein Paradox and Graphene

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dc.creatorBowen, S. P.
dc.date2008-07-23
dc.date.accessioned2026-07-07T09:52:19Z
dc.date.available2026-07-07T09:52:19Z
dc.descriptionSolutions of the one dimensional Dirac equation with piece-wise constant potentials are presented using standard methods. These solutions show that the Klein Paradox is non-existent and represents a failure to correctly match solutions across a step potential. Consequences of this exact solution are studied for the step potential and a square barrier. Characteristics of massless Dirac states and the momentum linear band energies for Graphene are shown to have quite different current and momentum properties.
dc.description20 pages, 3 figures, 2 tables
dc.identifierhttps://arxiv.org/abs/0807.3592
dc.identifierhttp://arxiv.org/abs/0807.3592
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165553
dc.subjectQuantum Physics
dc.title1-D Dirac Equation, Klein Paradox and Graphene
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