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＜電子ブック＞
Tomita-Takesaki Theory in Algebras of Unbounded Operators / by Atsushi Inoue
(Lecture Notes in Mathematics. ISSN:16179692 ; 1699)

版	1st ed. 1998.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1998
本文言語	英語
大きさ	VIII, 244 p : online resource
著者標目	*Inoue, Atsushi author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Operator theory LCSH:Quantum physics LCSH:Spintronics FREE:Algebra FREE:Operator Theory FREE:Quantum Physics FREE:Spintronics
一般注記	Fundamentals of O*-algebras -- Standard systems and modular systems -- Standard weights on O*-algebras -- Physical applications These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. The Tomita-Takesaki theory in O*-algebras is applied to quantum moment problem, quantum statistical mechanics and the Wightman quantum field theory. This will be of interest to graduate students and researchers in the field of (unbounded) operator algebras and mathematical physics HTTP:URL=https://doi.org/10.1007/BFb0093329

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