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

Ion I. Cotaescu·Paul Gravila·Marius Paulescu
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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.

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Ion I. Cotaescu, Paul Gravila, Marius Paulescu. 2006-09-19. Applying the Dirac equation to derive the transfer matrix for piecewise constant potentials. https://doi.org/10.1016/j.physleta.2007.02.097

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