Applying the Dirac equation to derive the transfer matrix for piecewise constant potentials

Details Applying the Dirac equation to derive the transfer matrix for piecewise constant potentials Applying the Dirac equation to derive the transfer matrix for piecewise constant potentials

2006-09-19

arxiv.org/abs/cond-mat/0609450v1

Physics

Condensed Matter

Other Condensed Matter

4 pages, 1 figure

Scientific paper

10.1016/j.physleta.2007.02.097

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.

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