What is the meaning of k in E(k) diagram?

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SUMMARY

The discussion clarifies the meaning of the physical quantity "k" in the context of semiconductor physics, specifically in the E(k) dispersion diagram. "k" is identified as the wavenumber, which is directly related to the momentum of an electron, expressed mathematically as p = ħk. The energy represented by E(k) is confirmed to be the kinetic energy of the electron, calculated using the formula E(k) = (ħk)²/(2m) + V₀, where V₀ represents the potential energy. The zero energy value in the E(k) diagram corresponds to the potential energy rather than a complete absence of energy.

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Nemanja989
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hello :) ,

like I said in the title of this topic I am confused about physical interpretation of physical quantity ˝k˝. I came to this problem while doing the first chapter of book in semiconductor physics, where authors simply define some value (parameter) ˝k˝ thanks to solution of some equation, but they didn't give any meaning for ˝k˝. Only what they said is that ˝k˝ can be real or complex.

First I thought it can be understood through wavelength of electron (particle), but since it can be complex I'm not sure. Perhaps only Re{k} corresponds to wavelength?..

So, if anybody can help, please be my guest :)..
 
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k is the wavenumber, or more importantly, related to the momentum (crystal momentum) in the E(k) dispersion diagram.

p=hbar*k

Zz.
 
Ok, thanks :) .

Just to ask one more thing. I'm not so sure what energy we are talking about when we say E(k)? Is it kinetic energy or potential or maybe whole energy of electron (Ek+U)?
I suppose that it is kinetic part since it is related to the momentum of electron..
 
It's kinetic energy.

Zz.
 
E(k)=(hbar*k)^2/(2m)+Vo

In the E(k) diagrams (dispertion curve) E can be considered as the kinetic energy only, but the zero energy value corresponds to the potential energy Vo, so, it's not actually zero.
 

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