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Calculating partition function of ultra-relativistic 1D gas
This is a problem (Problem 3.16) from the book Statistical Mechanics 2nd Ed. by Pathria.
In the problem I have to calculate the partition function of an ultra-relativistic 1D gas ($E_i=cp_i$) ...
2
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Negative energies and a partition function
I'm writing down the partition function for a system, for which I know the dispersion relation
$$E \left( \mathbf{k} \right) = \sqrt{ \left| \mathbf{k} \right|^2 + m^2 + \cdots }$$
The exact form is ...
