(Answered) Solve these two questions they are not very long and try to

Academics

Solve these two questions. They are not very long. And try to write clearly and accurately!

Q1: The wave function ψk(x) of an electron in a crystal may be expressed in a Fourier series as ψk(x)=∑C(k)exp(ikx). Use this statement to prove the Bloch theorem.

Q2: Show that the wavelength associated with an electron having an energy equal to Fermi energy is given by

λF=2*sqrt(pi/(3*n))

where n seems is concentration of electrons(confirm it!).

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