A remark on formal KMS states in deformation quantization

被引：22

作者：

Bordemann, M ^{[1
]}

Romer, H ^{[1
]}

Waldmann, S ^{[1
]}

机构：

[1] Univ Freiburg, Fak Phys, D-79104 Freiburg, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1998年 / 45卷 / 01期

关键词：

deformation quantization; KMS states;

D O I：

10.1023/A:1007481019610

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Within the framework of deformation quantization, we define formal KMS states on the deformed algebra of power series of functions with compact support in phase space as C[[lambda]]-linear functionals obeying a formal variant of the usual KMS condition known in the theory of C*-algebras. We show that for each temperature KMS states always exist and are up to a normalization equal to the trace of the argument multiplied by a formal analogue of the usual Boltzmann factor, a certain formal star exponential.

引用

页码：49 / 61

页数：13

共 28 条

[1] STABILITY AND EQUILIBRIUM STATES OF INFINITE CLASSICAL SYSTEMS [J].