Partition Functions for FermiDirac and BoseEinstein particles

mark.laidlaw19
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Homework Statement


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.

Homework Equations

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
 
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What expression for Z did you not provide under 2. Homework Equations ?
 
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