Applying the Dirac equation to derive the transfer matrix for piecewise constant potentials
Other Condensed Matter
2009-11-11 v1
Abstract
One propose a relativistic version of the transfer matrix method for an electron moving through a given number of rectangular barriers of arbitrary shape. It is shown that starting with the Dirac equation depending on the effective mass and a suitably chosen relativistic potential, one obtains a relativistic transfer matrix which takes the correct traditional form in the non-relativistic limit.
Cite
@article{arxiv.cond-mat/0609450,
title = {Applying the Dirac equation to derive the transfer matrix for piecewise constant potentials},
author = {Ion I. Cotaescu and Paul Gravila and Marius Paulescu},
journal= {arXiv preprint arXiv:cond-mat/0609450},
year = {2009}
}
Comments
4 pages, 1 figure