Partition function (statistical mechanics): Difference between revisions

Revision as of 07:08, 23 April 2025

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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 \prod_{i=1}^{N} e^{-\beta \mathcal{H}(\textbf{q_iq}_i, \textbf{p_ip}_i)} \, d^d \textbf{q_iq}_i \, d^d \textbf{p_ip}_i, </math>

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