 98342 Sergio Albeverio, Yuri Kondratiev, Yuri Kozitsky, Michael, Roeckner
 Uniqueness for Gibbs States of Quantum Lattices in Small Mass Regime
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May 14, 98

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Abstract. The model of interacting quantum particles performing anharmonic
onedimensional oscillations around their unstable equilibrium
positions, which form the $d$dimensional simple cubic lattice, is
considered. For this model, it is proved that for every fixed value
of temperature, there exists a positive quantity (temperature
depending) such that for all values of the physical mass of the
particle less than this quantity, the set of tempered Gibbs states of
the model consists of exactly one element.
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