A quantum crystal model in the light-mass limit: Gibbs states

被引：26
作者：
Minlos, RA
Verbeure, A
Zagrebnov, VA
机构：
[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia
[2] Katholieke Univ Leuven, Inst Theoret Fys, B-3001 Louvain, Belgium
[3] Univ Mediterranee, F-13288 Marseille, France
[4] CPT Luminy, F-13288 Marseille 9, France
来源：
REVIEWS IN MATHEMATICAL PHYSICS | 2000年 / 12卷 / 07期
关键词：
D O I：
10.1142/S0129055X00000381
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页码：981 / 1032
页数：52
相关论文
共 39 条
[1]  
Aksenov V. L., 1984, NEUTRON SCATTERING F
[2]   Peierls argument and long-range order behavior of quantum lattice systems with unbounded spins [J].
Albeverio, S ;
Kondratiev, AY ;
Rebenko, AL .
JOURNAL OF STATISTICAL PHYSICS, 1998, 92 (5-6) :1137-1152
[3]   HOMOGENEOUS RANDOM FIELDS AND STATISTICAL-MECHANICS [J].
ALBEVERIO, S ;
HOEGHKROHN, R .
JOURNAL OF FUNCTIONAL ANALYSIS, 1975, 19 (03) :242-272
[4]   Suppression of critical fluctuations by strong quantum effects in quantum lattice systems [J].
Albeverio, S ;
Kondratiev, Y ;
Kozitsky, Y .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 194 (03) :493-512
[5]   Uniqueness of Gibbs states for quantum lattice systems [J].
Albeverio, S ;
Kondratiev, YG ;
Rockner, M ;
Tsikalenko, TV .
PROBABILITY THEORY AND RELATED FIELDS, 1997, 108 (02) :193-218
[6]   Small-mass behavior of quantum Gibbs states for lattice models with unbounded spins [J].
Albeverio, S ;
Kondratiev, YG ;
Minlos, RA ;
Rebenko, AL .
JOURNAL OF STATISTICAL PHYSICS, 1998, 92 (5-6) :1153-1172
[7]  
ALBEVERIO S, UNPUB CLUSTER EXPANS
[8]  
ALBEVERIO S, 1999, SFB343
[9]  
[Anonymous], PROBABILITY MEASURE
[10]  
Barbulyak V. S., 1991, REPORTS NAT ACAD SCI, V10, P19
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