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Show interparticle spacing is much greater than wavelength

  1. May 6, 2016 #1
    I have a past paper question from statistical physics:
    81p24j3.jpg

    By assuming that ##\hbar^2 k^2=p^2##, I arrived at the result:
    The interparticle spacing, ##a^3 =\frac{V}{N}## is
    $$ a^3 >> e^{-\frac{p^2}{2mk_B T}} \lambda_{deB}^3$$

    Is my assumption correct? and does the result complete the purpose of the question?
     
  2. jcsd
  3. May 6, 2016 #2
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