(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have an energy function as follows:

[itex] E = \dfrac{\hbar^2}{2m_e}k_x^2+E_0\left(n_y^2+1\right)[/itex]

Where [itex] E_0 = \dfrac{\pi^2\hbar^2}{2m_eL_z}[/itex]

I am asked to plot this energy for [itex]x\in ]-L_z/2;L_z/2[ [/itex]

I know everything but not the relation between k and x?.

3. The attempt at a solution

I Fourier transform the energy from x to k-space(momentum space) and get some dela functions in k multiplied on as one would expect, but this seems odd to me and I want to know:

What is the relation between k and x?

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# Homework Help: Solid State - Energy(position)

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