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Partition Functions for FermiDirac and BoseEinstein particles

  1. Oct 11, 2014 #1
    1. The problem statement, all variables and given/known data
    Consider two particles, each can be in one of three quantum states, 0, e and 3e, and are at temperature T. Find the partition function if they obey Fermi Dirac and Bose Einstein statistics.

    2. Relevant equations

    3. The attempt at a solution
    I have obtained solutions to both :

    FD, Z = exp[-beta * e] + exp[-2 * beta * e] + exp[-4 * beta * e]

    BE,Z = 1 + exp[-beta * e] + 2*exp[-3 * beta * e] + exp[-4 * beta * e] + exp[-6 * beta * e]

    I have figured these out by thinking through the possible states for the particles. I'm assuming they have to be indistinguishable. I just want to confirm that my thinking has led to the correct results.

    Many thanks
  2. jcsd
  3. Oct 12, 2014 #2


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    What expression for Z did you not provide under 2. Relevant equations ?
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