论文标题
与Galilei不变互动的KMS州的局部正常性
Local Normality for KMS states with Galilei invariant Interaction
论文作者
论文摘要
对于Fermi系统，与Galilei不变型对势相互作用，对于具有高度不同速度的颗粒的截止，时间演变对应于自动态。我们证明所有满足KMS条件的状态在Fock空间中的表示方面都是局部正常的。如果相互作用是排斥或正类型的，则删除截止极限状态保持局部正常状态。极限状态的von Neumann-Algebra的模块化自动形态与时间演化一致。
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.
