Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2000; 37(4): 579-592

Printed July 1, 2000

Copyright © The Korean Mathematical Society.

Variational principle for quantum unbounded spin systems

S. D. Choi, S. G. Jo, H. I. Kim, H. H. Lee, and H. J. Yoo

Kyungpook National University

Abstract

We study the variational principle for quantum unbounded spin systems interacting via superstable and regular interactions. We show that the (weak) KMS state constructed via the thermodynamic limit of finite volume Green's functions satisfies the Gibbs variational equality.

Keywords: Quantum unbounded spin systems, superstable interaction, KMS states, entropy, pressure, Gibbs variational principle

MSC numbers: 82B10, 47N50