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Calculate Quantum Partition Function

  1. Jan 21, 2017 #1
    1. The problem statement, all variables and given/known data

    Consider the case when the three Ising spins are replaced by quantum spins 1/2's with a Hamiltonian

    H=-J(s1.s2+s2.s3+s3.s1) calcualte the quantum partition function
    2. Relevant equations

    Partition function is the sum of E^(-H*B) where B is 1/kt

    3. The attempt at a solution

    Because this is the discrete case I'm assuming the fact that this is a quantum partition function doesn't make much of a difference. there are eight possibility, two of them are (1/2,1/2,1/2),(1/2,1/2,-1/2) and when I sum them all up I get 2*E^(3*J*B/4)+6*E^(-J*B/4). Is my approach correct or am I missing something subtle because this is quantum partition function?
     
  2. jcsd
  3. Jan 22, 2017 #2

    TSny

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    Gold Member

    Your approach and result look correct to me.
     
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