GIBBS STATES OF A ONE DIMENSIONAL QUANTUM LATTICE

被引：131

作者：

ARAKI, H

机构：

[1] I.H.E.S.

[2] Research Institute for Mathematical Sciences, Kyoto University, Kyoto

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1969年 / 14卷 / 02期

关键词：

D O I：

10.1007/BF01645134

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A one dimensional infinite quantum spin lattice with a finite range interaction is studied. The Gibbs state in the infinite volume limit is shown to exist as a primary state of a UHF algebra. The expectation value of any local observables in the state as well as the mean free energy depend analytically on the potential, showing no phase transition. The Gibbs state is an extremal KMS state. © 1969 Springer-Verlag.

引用

页码：120 / &

共 14 条

[1] Araki H., 1968, PUBLICATIONS RES I M, V4, P373
[2] ARAKI H, 1968, PUBLICATIONS RES I M, V0004, P00361
[3] Araki H., 1966, PUBL RES I MATH SCI, V2, P157, DOI [10.2977/prims/1195195888, DOI 10.2977/PRIMS/1195195888]
[4] ARAKI H, 1968, PUBLICATIONS RESEA A, V4, P585
[5] OPERATOR CALCULUS OF QUANTIZED OPERATOR
FUJIWARA, I
[J]. PROGRESS OF THEORETICAL PHYSICS, 1952, 7 (05): : 433 - 448
[6] GALAVOTTI G, 1968, COMMUN MATH PHYS, V10, P311
[7] Ginibre J., 1968, Communications in Mathematical Physics, V10, P140, DOI 10.1007/BF01654238
[8] Greenberg W., 1969, Communications in Mathematical Physics, V11, P314, DOI 10.1007/BF01645852
[9] LANDFORD OE, OBSERVABLES INFINITY
[10] REPRESENTATIONS OF UNIFORMLY HYPERFINITE ALGEBRAS AND THEIR ASSOCIATED VON NEUMANN RINGS
POWERS, RT
[J]. ANNALS OF MATHEMATICS, 1967, 86 (01) : 138 - &

← 1 2 →