科研之友
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摘要
Given a translation-invariant Hamiltonian , a ground state on the lattice is a configuration whose energy, calculated with respect to , cannot be lowered by altering its states on a finite number of sites. The set formed by these configurations is translation-invariant. Given an observable defined on the space of configurations, a minimizing measure is a translation-invariant probability which minimizes the average of . If is the mean contribution of all interactions to the site , we show that any configuration of the support of a minimizing measure is necessarily a ground state.
- 出版日期2015-1
