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Semiclassical electron velocity in a periodic potential

 
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Feb11-13, 06:24 AM   #1
 

Semiclassical electron velocity in a periodic potential


Semiclassical electron velocity in a periodic potential is [tex]v(k)=\langle \psi |p/m| \psi \rangle[/tex] But if we use the relation [tex]p/m=\frac{1}{i\hbar} [x,H][/tex] we earn v=0, while we know that it should be [tex]\frac{1}{\hbar} \frac{dE}{dk}[/tex] Why?
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