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Homework Help: Fermi Energy

  1. Mar 25, 2009 #1
    http://www.ph.ed.ac.uk/~pmonthou/Statistical-Mechanics/documents/SM15.pdf [Broken]

    At the top of page 59 in the above link, I can't see where the first three bullet points that follow

    [itex]E(T=0)=\int_0^{\epsilon_f} g(\epsilon) d \epsilon[/itex]

    come from?

    can anyone help?
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 25, 2009 #2


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    The first and second bullet point follow from the bottom of page 58. Study the expression for [itex]\epsilon_f[/itex] and see how it depends on [itex]m[/itex] and [itex]N / V[/itex].

    The third bullet point follow from the definition of [itex]k_B[/itex] in a way. [itex]k_B[/itex] relates energy to temperature, so the Fermi temperature associated with the energy of the electrons at the Fermi level is just [itex]T_f = \epsilon_f / k_B[/itex].

    Last edited: Mar 26, 2009
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