On the inverse problem in statistical mechanics
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For quantum spin systems it is known that for a suitable space of potentials the equilibrium states areW*-dense in the set of all translation invariant states. The problem discussed in this paper is how to recognize such equilibrium states and how to find the corresponding potential. A necessary and sufficient condition for a state to be an equilibrium state for some potential is given in Sect. 3.
KeywordsBanach Space Equilibrium State Inverse Problem Tangent Plane Finite Subset
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- 6.Hugenholtz, N. M.:C*-algebras and statistical mechanics. In: Proceedings of the symposium in pure mathematics of the A.M.S., held in Kingston, Ontario, 1980 (to appear)Google Scholar