Alina Kargol, Yuri Kondratiev, and Yuri Kozitsky
Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals
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ABSTRACT.  A unified theory of phase transitions and quantum effects in quantum 
anharmonic crystals is presented. In its framework, the relationship 
between these two phenomena is analyzed. The theory is based on the 
representation of the model Gibbs states in terms of path measures 
(Euclidean Gibbs measures). It covers the case of crystals without 
translation invariance, as well as the case of asymmetric anharmonic 
potentials. The results obtained are compared with those known in 
the literature.