Abstract
Disjointness of (KMS)-states of different temperatures is proved.
Similar content being viewed by others
References
Araki, H.: Multiple time analyticity of a quantum statistical state satisfying the KMS boundary condition. To appear.
-- Miyata, H.: On KMS boundary condition. To appear.
Dixmier, J.: Les algèbres d'opérateurs dans l'espace hilbertien. Paris: Gauthier-Villars 2é edition 1969.
Haag, R., Hugenholtz, N. M., Winnink, M.: On the equilibrium states in quantum statistical mechanics. Commun. Math. Phys.5, 215–236 (1967).
Hugenholtz, N. M., Takesaki, M., Winnink, M.: Local normality of the KMS-states in quantum statistical mechanics. In preparation.
—— Wieringa, J. D.: On locally normal states in quantum statistical mechanics. Commun. Math. Phys.11, 183–197 (1969).
Kastler, D., Pool, J. C. T., Thue Poulsen, E.: Quasi-unitary algebras attached to temperature states in statistical mechanics — a comment on the work of Haag, Hugenholtz and Winnink. Commun. Math. Phys.12, 175–192 (1969).
Phelps, R.: Lectures on Choquet's theorem. Princeton: von Nostrand 1966.
Takesaki, M.: Tomita's theory of modular Hilbert algebras and its applications. To appear.
Tomita, M.: Standard forms of von Neumann algebras. The Vth Functional Analysis Symposium of the Math. Soc. of Japan, Sendai, 1967.
Winnink, M.: Algebraic aspects of the Kubo-Martin-Schwinger condition. Cargèse Lecture Notes, 1969.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Takesaki, M. Disjointness of the KMS-states of different temperatures. Commun.Math. Phys. 17, 33–41 (1970). https://doi.org/10.1007/BF01649582
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01649582