Stability properties and the KMS condition
Stability properties and the KMS condition
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稳定性属性和 KMS 条件
DOI：
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发表时间：
1978
期刊：
影响因子：
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通讯作者：
D. W. Robinson
中科院分区：
文献类型：
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作者：
O. Bratteli;A. Kishimoto;D. W. Robinson
首先我们推导出KMS状态的稳定性，然后从稳定性推导出KMS条件。新的结果包括用适当的截断函数和基态的稳定性对扰动KMS状态的收敛摄动展开。最后，我们推广了Haag， Kastler， Trych-Pohlmeyer的结果，证明了满足弱三点聚类性质的fl1 -渐近阿贝耳系统的稳定状态是自动的KMS状态。最后一个定理通过稳定性和簇性质给出了KMS状态（1-渐近阿贝尔系统）的几乎完整的表征（无限温度状态可能出现轻微的差异）。
First we derive stability properties of KMS states and subsequently we derive the KMS condition from stability properties. New results include a convergent perturbation expansion for perturbed KMS states in terms of appropriate truncated functions and stability properties of ground states. Finally we extend the results of Haag, Kastler, Trych-Pohlmeyer by proving that stable states ofL1-asymptotically abelian systems which satisfy a weak three point cluster property are automatically KMS states. This last theorem gives an almost complete characterization of KMS states, ofL1-asymptotic abelian systems, by stability and cluster properties (a slight discrepancy can occur for infinite temperature states).