= Statistical Hamiltonian
{title2=$P(\omega)\propto e^{-\beta_T H(\omega)}$}
A statistical Hamiltonian assigns an energy to a microscopic configuration. Its <Boltzmann weight> defines the <canonical ensemble>, and summing or integrating that weight gives a <partition function>. A reduced Hamiltonian absorbs inverse temperature into its coefficients, so the weight is $e^{-H_{\rm reduced}}$. An <Ising model> uses discrete <Ising spin> configurations, while <Landau-Ginzburg theory> uses a coarse <scalar field>.
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