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Quantum Statistics question

  1. Dec 3, 2007 #1
    [SOLVED] Quantum Statistics question

    1. The problem statement, all variables and given/known data

    Electrons in a metal are considered as free electron gas where

    (a) Fermi energy is (h^2/2m)[3N/8*pi*V]^(2/3)

    (b)Average energy of the free electrons at absolute zero is E(0)=(3/5)E_f where E_f is the Fermi energy

    (c)Pauli exclusion principle is obeyed.

    (d) Total momentum at absolute zero is zero.

    2. Relevant equations



    3. The attempt at a solution

    I think all but (d) are correct.i cannot visualize the electrons to have momentum zero yet having energy...at T=0
     
  2. jcsd
  3. Dec 3, 2007 #2

    Gokul43201

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    Is energy proportional to momentum or momentum squared?
     
  4. Dec 3, 2007 #3
    So total momentum may be zero?

    Then,all four options are correct?
     
  5. Dec 4, 2007 #4

    Gokul43201

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    I don't know if (a) has all the correct factors of 2 and pi and so on...but if it does, then yes.
     
  6. Dec 4, 2007 #5
    I hope so...
     
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