THERMODYNAMICAL PROOF OF THE GIBBS FORMULA FOR ELEMENTARY QUANTUM SYSTEMS

被引：247

作者：

LENARD, A ^{[1
]}

机构：

[1] INDIANA UNIV,DEPT PHYS,BLOOMINGTON,IN 47401

来源：

JOURNAL OF STATISTICAL PHYSICS | 1978年 / 19卷 / 06期

关键词：

Gibbs states; Statistical mechanics; thermal equilibrium;

D O I：

10.1007/BF01011769

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An elementary derivation is given of the formula for the thermal equilibrium states of quantum systems that can be described in finite-dimensional Hilbert spaces. The three assumptions made, Passivity, Structural Stability, and Consistency, have phenomenological interpretations. Except at zero temperature, Structural Stability follows already from Passivity and a weak form of Consistency. © 1978 Plenum Publishing Corporation.

引用

页码：575 / 586

页数：12

共 7 条

[1]

DARBOUX G, 1880, MATH ANN, V17, P33

[2]

Gibbs J. W, 1902, ELEMENTARY PRINCIPLE

[3] STABILITY AND EQUILIBRIUM STATES [J].

HAAG, R ;

KASTLER, D ;

TRYCHPOH.EB .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1974, 38 (03) :173-193

[4]

Hardy G. H., 1934, INEQUALITIES

[5]

KASTLER D, 1976, EQUILIBRIUM STATES M, V20

[6]

MIRSKY L, 1971, TRANSVERSAL THEORY

[7] PASSIVE STATES AND KMS STATES FOR GENERAL QUANTUM SYSTEMS [J].

PUSZ, W ;

WORONOWICZ, SL .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 58 (03) :273-290

← 1 →