Physics – Quantum Physics
Scientific paper
2003-12-02
Interdisciplinary Information Sciences, Vol. 10, 23-29, (2004) .
Physics
Quantum Physics
12 pages
Scientific paper
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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