Small-mass behavior of quantum Gibbs states for lattice models with unbounded spins

被引：8

作者：

Albeverio, S ^{[1
]}

Kondratiev, YG

Minlos, RA

Rebenko, AL

机构：

[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

[2] Ruhr Univ Bochum, Fac Math, D-44780 Bochum, Germany

[3] BiBoS Res Ctr, D-33615 Bielefeld, Germany

[4] Math Inst, UA-252601 Kiev, Ukraine

[5] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow, Russia

[6] Math Inst, UA-252601 Kiev, Ukraine

来源：

JOURNAL OF STATISTICAL PHYSICS | 1998年 / 92卷 / 5-6期

关键词：

quantum Gibbs state; lattice model; unbounded spin; small mass; cluster expansion;

D O I：

10.1023/A:1023009130254

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct the distribution of the infinite-dimensional Markov process associated with a finite-temperature Gibbs state for a quantum mechanical anharmonic crystal. The corresponding state is constructed via a cluster expansion technique for an arbitrary fixed temperature and, correspondingly, small enough masses of particles.

引用

收藏

页码：1153 / 1172

页数：20

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