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Partition function (statistical mechanics): Difference between revisions

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subject to two physical constraints:
 
1. #The probabilities of all states add to unity ([[Probability axioms#Second axiom|second axiom of probability]]): <math display="block">
:<math>
\sum_i \rho_i = 1.
</math>
2.# In the [[canonical ensemble]], the average energy is fixed ([[conservation of energy]]): <math display="block">▼
 
▲2. In the [[canonical ensemble]], the average energy is fixed ([[conservation of energy]]):
:<math>
\langle E \rangle = \sum_i \rho_i E_i \equiv U .
</math>
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