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semiconductors fundamentals.pdf

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• Bloch theorem<br />

• U (r)= U (r+R),<br />

R is any lattice vector<br />

• H=P 2 /2m+ U (r)<br />

• H Φ = E Φ<br />

• Φ k (r)= = e ik·r u (r)<br />

• u (r) = u (r+R)<br />

• k could be used to specify the electronic<br />

state and p=ћk, is the crystal momentum of<br />

the electron in the lattice

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