Partition function (mathematics): Difference between revisions

Revision as of 20:13, 16 January 2016

Revision as of 23:58, 22 January 2016

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==Definition==

Given a set of [[random variables]] <math>X_i</math> taking on values <math>x_i</math>, and some sort of [[Scalar potential|potential function]]{{dn|date=January 2016}} or [[Hamiltonian function|Hamiltonian]] <math>H(x_1,x_2,\dots)</math>, the partition function is defined as

:<math>Z(\beta) = \sum_{x_i} \exp \left(-\beta H(x_1,x_2,\dots) \right)</math>