Partition function (statistical mechanics): Difference between revisions

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For generalized cases, the partition function of N particles in d-dimensions is given by

<math display="block"> Z = \frac{1}{h^{Nd}} \int e^{-\beta H(\vec{q_i}, \vec{p_i})} \, d^d \vec{q_i} \, d^d \vec{p_i}, </math>

where <math> \vec{q_i} </math> and <math> \vec{p_i} </math> are position and momenta coordinates, respectively

==== Classical continuous system (multiple identical particles) ====