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Finding the Partition Function in Paramagnetism

  1. Nov 20, 2013 #1
    1. The problem statement, all variables and given/known data

    I was given a Hamiltonian H = -[itex]\mu[/itex]B[itex]\sum[/itex]cos[itex]\alpha_{i}[/itex]
    where the sum is over i from i = 1 to i = N

    I need the partition function given this Hamiltonian.

    2. Relevant equations



    3. The attempt at a solution

    I tried using the classical approach where [itex]Z_{N}[/itex] = [itex]\frac{1}{h^{3}}[/itex][itex]\int[/itex][itex]d^{3}[/itex]p[itex]d^{3}[/itex]q exp[[itex]\beta[/itex][itex]\mu[/itex]B[itex]\sum[/itex]cos[itex]\alpha_{i}[/itex]], but I am stuck at what to do with the cos summation.

    Can anyone help?

    Thanks!
     
  2. jcsd
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