Matching Conditions in Effective-Mass Theory


الملخص بالإنكليزية

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.

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