Consider a monoatomic 1D crystal structure of period a. (a) Find the G-vectors to be included in the plane-wave expansion of the electronic wave- h (27 2m a functions at k=0, of the above system, by assuming a cutoff energy E (b) Starting the central equation write down the linear equations to be solved for finding the electronic eigenvalues and eigenvectors.

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Consider a monoatomic 1D crystal structure of period a.
(a) Find the G-vectors to be included in the plane-wave expansion of the electronic wave-
h ( 27
2m a
functions at k=0, of the above system, by assuming a cutoff energy E
(b) Starting the central equation write down the linear equations to be solved for finding
the electronic eigenvalues and eigenvectors.
Transcribed Image Text:Consider a monoatomic 1D crystal structure of period a. (a) Find the G-vectors to be included in the plane-wave expansion of the electronic wave- h ( 27 2m a functions at k=0, of the above system, by assuming a cutoff energy E (b) Starting the central equation write down the linear equations to be solved for finding the electronic eigenvalues and eigenvectors.
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