On the Kubo-Martin-Schwinger Boundary Condition

スポンサーリンク

概要

• 論文の詳細を見る

• The Kubo-Martin-Schwinger boundary condition, which had first been introduced as a property characterizing the canonical ensemble average in quantum statistical mechanics, was later recognized as a property characterizing the modular automorphisms in the so-called Tomita-Takesaki theory of von Neumann algebras. This miraculous link made it possible to apply powerful mathematical technique supplied by the Tomita-Takesaki thoery to a study of some problems in mathematical formulation of statistical mechanics. More recently, the KMS condition in classical statistical mechanics has also been investigated. The aim of this exposition is to review for non-specialists those development of the "rigorous" treatment of statistical mechanics which are related to the KMS condition.

• 理論物理学刊行会の論文
• 1979-04-01

著者

• Araki Huzihiro

  Research Institute For Mathematical Sciences Kyoto University

• Araki Huzihiro

  Research Institute For Mathematical Science Kyoto University

関連論文

• Positive Cones and $L_p$-Spaces for von Neumann Algebras
• On Boundedness and $\parallel \cdot \parallel_p$ Continuity of Second Quantisation
• On the Kubo-Martin-Schwinger Boundary Condition
• Relative Entropy for States of von Neumann Algebras II
• On the Algebra of All Local Observables
• Type of von Neumann Algebra Associated with Free Field
• A Remark on Machida-Namiki Theory of Measurement
• A Classification of Factors
• On a Certain Class of $^\ast$-Algebras of Unbounded Operators
• On Quasi-equivalence of Quasifree States of the Canonical Commutation Relations

スポンサーリンク