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Tomita-Takesaki Theory in Algebras of Unbounded Operators [electronic resource] /
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.
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| Format: | Texto biblioteca |
| Language: | eng |
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Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1998
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| Subjects: | Mathematics., Algebra., Operator theory., Quantum physics., Quantum computers., Spintronics., Operator Theory., Quantum Physics., Quantum Information Technology, Spintronics., |
| Online Access: | http://dx.doi.org/10.1007/BFb0093329 |
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KOHA-OAI-TEST:1997492018-07-30T23:26:32ZTomita-Takesaki Theory in Algebras of Unbounded Operators [electronic resource] / Inoue, Atsushi. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1998.engThese 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.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.Mathematics.Algebra.Operator theory.Quantum physics.Quantum computers.Spintronics.Mathematics.Algebra.Operator Theory.Quantum Physics.Quantum Information Technology, Spintronics.Springer eBookshttp://dx.doi.org/10.1007/BFb0093329URN:ISBN:9783540494959 |
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Mathematics. Algebra. Operator theory. Quantum physics. Quantum computers. Spintronics. Mathematics. Algebra. Operator Theory. Quantum Physics. Quantum Information Technology, Spintronics. Mathematics. Algebra. Operator theory. Quantum physics. Quantum computers. Spintronics. Mathematics. Algebra. Operator Theory. Quantum Physics. Quantum Information Technology, Spintronics. |
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Mathematics. Algebra. Operator theory. Quantum physics. Quantum computers. Spintronics. Mathematics. Algebra. Operator Theory. Quantum Physics. Quantum Information Technology, Spintronics. Mathematics. Algebra. Operator theory. Quantum physics. Quantum computers. Spintronics. Mathematics. Algebra. Operator Theory. Quantum Physics. Quantum Information Technology, Spintronics. Inoue, Atsushi. author. SpringerLink (Online service) Tomita-Takesaki Theory in Algebras of Unbounded Operators [electronic resource] / |
| description |
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. |
| format |
Texto |
| topic_facet |
Mathematics. Algebra. Operator theory. Quantum physics. Quantum computers. Spintronics. Mathematics. Algebra. Operator Theory. Quantum Physics. Quantum Information Technology, Spintronics. |
| author |
Inoue, Atsushi. author. SpringerLink (Online service) |
| author_facet |
Inoue, Atsushi. author. SpringerLink (Online service) |
| author_sort |
Inoue, Atsushi. author. |
| title |
Tomita-Takesaki Theory in Algebras of Unbounded Operators [electronic resource] / |
| title_short |
Tomita-Takesaki Theory in Algebras of Unbounded Operators [electronic resource] / |
| title_full |
Tomita-Takesaki Theory in Algebras of Unbounded Operators [electronic resource] / |
| title_fullStr |
Tomita-Takesaki Theory in Algebras of Unbounded Operators [electronic resource] / |
| title_full_unstemmed |
Tomita-Takesaki Theory in Algebras of Unbounded Operators [electronic resource] / |
| title_sort |
tomita-takesaki theory in algebras of unbounded operators [electronic resource] / |
| publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
| publishDate |
1998 |
| url |
http://dx.doi.org/10.1007/BFb0093329 |
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AT inoueatsushiauthor tomitatakesakitheoryinalgebrasofunboundedoperatorselectronicresource AT springerlinkonlineservice tomitatakesakitheoryinalgebrasofunboundedoperatorselectronicresource |
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