99-15 H. J. Yoo, H. H. Lee, H. I. Kim, S. G. Jo, S. D. Choi

Equilibrium statistical mechanics for classical and quantum unbounded spin systems (243K, Latex2e, Postcript. ) Jan 15, 99

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Abstract. We study the equilibrium statistical mechanics for classical and quantum unbounded spin systems interacting via superstable and regular interactions. We show that in classical systems any DLR measure satisfies the Gibbs variational equality and the converse is also true if the interaction is of finite range. For quantum systems, we show that the (weak) KMS state constructed via the thermodynamic limit of finite volume Green's functions satisfies the Gibbs variational equality.

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