Geometry of thermodynamic states

被引：8

作者：

Brody, DC

Hughston, LP

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England

[2] Merrill Lynch Int, London EC2Y 9LY, England

[3] Univ London Kings Coll, London WC2R 2LS, England

来源：

PHYSICS LETTERS A | 1998年 / 245卷 / 1-2期

关键词：

D O I：

10.1016/S0375-9601(98)00385-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A geometric formalism for statistical estimation is applied here to the canonical distribution of classical statistical mechanics. In this scheme thermodynamic states are characterised by a submanifold M of the unit sphere in a real Hilbert space. The measurement of a thermodynamic variable corresponds to the reduction of a state vector, where the transition probability is the Boltzmann weight. We derive a set of uncertainty relations for conjugate thermodynamic variables. (C) 1998 Elsevier Science B.V.

引用

页码：73 / 78

页数：6

共 18 条

[1] GEOMETRY OF QUANTUM EVOLUTION [J].