Zeros of the partition function

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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
 

Answers and Replies

olgranpappy
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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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