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Zeros of the partition function

  1. Mar 17, 2008 #1
    given a partition function

    [tex] Tr[e^{-BH}] [/tex] or [tex] Z(B)= \int_{P}dx dp e^{-BH(p,q)} [/tex]

    is there any meaning for its zeros ? , i mean what happens in case the partition function Z(B)=0 for some 'B' or temperature [tex] B=1/kT [/tex] do these zeros have a meaning ?? thanks
  2. jcsd
  3. Mar 18, 2008 #2


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    what you have written is positive definite so it has no zeros (i.e., is never zero)... assuming beta is real... and assuming H is a true Hamiltonian...
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