dorsal/arxiv
View SchemaOn energy-momentum spectrum of stationary states with nonvanishing current on 1-d lattice systems
| Authors | Takayuki Miyadera |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312017 |
| URL | https://arxiv.org/abs/quant-ph/0312017 |
| Journal | Interdisciplinary Information Sciences, Vol. 10, 23-29, (2004) . |
Abstract
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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"abstract": "On one-dimensional two-way infinite quantum lattice system, a property of\ntranslationally invariant stationary states with nonvanishing current\nexpectation is investigated. We consider GNS representation with respect to\nsuch a state, on which we have a group of space-time translation unitary\noperators. We show that spectrum of the unitary operators, energy-momentum\nspectrum with respect to the state, has a singularity at the origin.",
"arxiv_id": "quant-ph/0312017",
"authors": [
"Takayuki Miyadera"
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"journal_ref": "Interdisciplinary Information Sciences, Vol. 10, 23-29, (2004) .",
"title": "On energy-momentum spectrum of stationary states with nonvanishing current on 1-d lattice systems",
"url": "https://arxiv.org/abs/quant-ph/0312017"
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