弱耦合非简谐晶体的KMS态及预解式CCR代数
KMS States of Weakly Coupled Anharmonic Crystals and the Resolvent CCR Algebra
摘要：
考虑Z上弱耦合非简谐振子的平衡态。本文研究了由D.Buchholtz和H.Grundling引入的预解CCR代数，证明了平衡态的无限体积极限满足KMS（Kubo-Martin-Schwinger）条件，并具有良好的正则性（=局部Fock表示）. KMS态的唯一性也得到了证明。
英文摘要：
We consider equilibrium states of weakly coupled anharmonic quantum oscillators on Z. We consider the Resolvent CCR Algebra introduced by D.Buchholtz and H.Grundling, and we show that the infinite volume limit of equilibrium states satisfies the KMS (Kubo-Martin-Schwinger) condition with good regularity(= locally Fock representation). Uniqueness of the KMS states is proven as well.
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