Matching Conditions in Effective-Mass Theory
Materials Science
2011-08-08 v1
Abstract
It has been shown that the traditional matching of wavefunctions between regions of different effective mass (matching {\psi} and (1/m*)\partial{\psi}/\partialx) is not correct, but that one should match (1/\surdm*){\psi} and (1/\surdm*)\partial{\psi}/\partialx. It has not been clear how serious is the error in using the traditional formula. We apply the two sets of conditions to a simple, but rather general, example and find that the traditional matching is not even qualitatively correct.
Cite
@article{arxiv.1108.1224,
title = {Matching Conditions in Effective-Mass Theory},
author = {Walter A. Harrison},
journal= {arXiv preprint arXiv:1108.1224},
year = {2011}
}
Comments
2 figures, brief MS