Uniqueness for Gibbs measures of quantum lattices in small mass regime
A model of interacting identical quantum particles performing one-dimensional anharmonic oscillations around their unstable equilibrium positions, which form the d-dimensional simple cubic lattice Z(d), is considered. For this model it is proved that for every fixed value of the temperature beta (-1) there exists a positive m*(beta) such that for the values of the physical mass of the particle m is an element of (0, m*(beta)), the set of tempered Gibbs measures consists of exactly one element. (C) 2001 Editions scientifiques et medicales Elsevier SAS. AMS classification: 60B05, 82B10.
37
1
43-69
43-69
GAUTHIER-VILLARS/EDITIONS ELSEVIER