Abstract
A one-dimensional polymer, polyacetylene (CH) x, is studied as a model of quantum statistical mechanics. The system is equivalent to a 1D quantum XY-model interacting with unbounded bosonic spins ( = phonon fields). It is established that the XY-spin correlation functions as well as the fermion correlation functions exhibit exponential clustering for all reciprocal temperatures β < ∞. This is also the case for the phonon correlation functions if β is small.
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