Treating some solid state problems with the Dirac equation
Condensed Matter
2009-10-31 v1 High Energy Physics - Theory
Abstract
The ambiguity involved in the definition of effective-mass Hamiltonians for nonrelativistic models is resolved using the Dirac equation. The multistep approximation is extended for relativistic cases allowing the treatment of arbitrary potential and effective-mass profiles without ordering problems. On the other hand, if the Schrodinger equation is supposed to be used, our relativistic approach demonstrate that both results are coincidents if the BenDaniel and Duke prescription for the kinetic-energy operator is implemented. Applications for semiconductor heterostructures are discussed.
Cite
@article{arxiv.cond-mat/9911356,
title = {Treating some solid state problems with the Dirac equation},
author = {R. Renan and M. H. Pacheco and C. A. S. Almeida},
journal= {arXiv preprint arXiv:cond-mat/9911356},
year = {2009}
}
Comments
06 pages, 5 figures