一维格点系统中具有非零电流的stationary states的能量动量谱
On energy-momentum spectrum of stationary states with nonvanishing current on 1-d lattice systems
摘要：
在一维双向无限量子晶格系统中，研究了具有非零电流期望的量子定态的性质。我们考虑这样一个态的GNS表示，在这个态上我们有一组时空平移幺正算符。我们证明了么正算符的谱，即关于态的能量-动量谱，在原点有一个奇点。
英文摘要：
On one-dimensional two-way infinite quantum lattice system, a property of translationally invariant stationary states with nonvanishing current expectation is investigated. We consider GNS representation with respect to such a state, on which we have a group of space-time translation unitary operators. We show that spectrum of the unitary operators, energy-momentum spectrum with respect to the state, has a singularity at the origin.
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