 02504 Sergio Albeverio, Yuri Kondratiev, Yuri Kozitsky, Michael Roeckner
 Small Mass Implies Uniqueness of Gibbs States of a Quantum Crystal
(472K, PDF)
Dec 6, 02

Abstract ,
Paper (src),
View paper
(auto. generated pdf),
Index
of related papers

Abstract. A model of interacting quantum particles performing onedimensional anharmonic oscillations around their equilibrium
positions which form a lattice $\mathbb{Z}^d$ is considered. For this model, it is proved that the set of tempered
Euclidean Gibbs measures is a singleton provided the particle mass is less than a certain bound $m_*$, which is
independent of the temperature $\beta^{1}$. This settles a problem that was open for a long time and is an essential
improvement of a similar result proved before by the same authors \cite{AKKR1}, where the bound $m_*$ depended on
$\beta$ in such a way that $m_* (\beta) \rightarrow 0$ as $\beta \rightarrow +\infty$.
 Files:
02504.src(
02504.keywords ,
bp.pdf.mm )