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Solid State - Energy(position)

  1. Nov 6, 2012 #1
    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?
     
  2. jcsd
  3. Nov 6, 2012 #2
    Follow up:
    Maybe I shall choose some k and just plot a constant, but it seems silly.
     
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