具有Galilei不变相互作用的KMS态的局域正规性
Local Normality for KMS states with Galilei invariant Interaction
摘要：
对于与伽利略不变对势相互作用的费米系统，其时间演化对应于一个自同构。我们证明了所有满足KMS条件的状态相对于Fock空间中的表示是局部正规的。只要相互作用是排斥的或正的，去除截止极限态仍然是局部正常的。极限态的von Neumann-代数的模自同构与时间演化一致。
英文摘要：
For Fermi systems interacting with a Galilei invariant pair potential with a cut-off for particles with highly different velocities the time evolution corresponds to an automorphism. We prove that all states satisfying the KMS-condition are locally normal with respect to the representation in Fock-space. Removing the cut-off limit states remain locally normal provided the interaction is repulsive or of positive type. The modular automorphism of the von Neumann-algebra of the limit state coincides with the time evolution.
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