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Harmonic oscillator partition function

  1. Sep 9, 2011 #1
    Well what is the partition function of harmonic oscillator with this energy
    E=hw(n+1/2) , n=1,3,5,...

    Z=e^(-BE) right?


    How to expand this?

    Thank you.
  2. jcsd
  3. Sep 10, 2011 #2


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    [itex]Z={\sum}_{i}e^{-\beta E_i}[/itex]
  4. Sep 10, 2011 #3


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    And [itex]\beta = 1/kT[/itex].
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