- 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
(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.