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Anharmonic Oscillator Heat Capacity

  1. May 8, 2009 #1
    1. The problem statement, all variables and given/known data

    Consider the anharmonic potential U(x)=cx2-gx3-fx4 and show that the approximate heat capacity of the classical unharmonic oscillator in one dimension is

    C=kb[1+(3f/2c2+15g2/8c3)kbT]


    2. Relevant equations

    U(x)=cx2-gx3-fx4
    and heat capacity is C=dU/dT

    3. The attempt at a solution

    I have used boltzman distrşbution of x as 3g/4c2*kbT and took derivative of U according to T but I could not find the given heat capacity.
     
  2. jcsd
  3. May 9, 2009 #2

    G01

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    Homework Helper
    Gold Member

    OK. But, I can't help you find your mistake if you don't show your calculations.
     
  4. Feb 25, 2011 #3
    where did the 3g/4c2*kbT come from?
     
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