A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES-Reference-Cited by-同舟云学术

A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES

Published:2000-07 Issue:07 Volume:12 Page:981-1032
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

MINLOS R. A.¹,VERBEURE A.²,ZAGREBNOV V. A.³

Affiliation:

1. Institute for the Information Transmission Problems, Russian Academy of Sciences, Ermolovoy str. 19, Moscow 101447, CIS-Russia, Russia

2. Instituut voor Theoretische Fysica, K.U. Leuven, Celestijnenlaan 200D, B-3001 Leuven, Belgium

3. Université de la Méditerranée and CPT-Luminy, Case 907, F-13288 Marseille, Cedex 9, France

Abstract

Ground and temperature quantum Gibbs states are constructed for a ferroelectric anharmonic quantum oscillator model with small masses. It is shown that they possess mixing properties. The construction relies on the Feynman–Kac–Nelson representation of the conditional reduced density matrices and on the cluster expansions for the corresponding Gibbs field of trajectories.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X00000381

Reference21 articles.

1. Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal

2. Uniqueness of Gibbs states for quantum lattice systems

3. Suppression of Critical Fluctuations by Strong Quantum Effects in Quantum Lattice System

4. Perturbations of Gibbs semigroups

5. No-go theorem for quantum structural phase transitions

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