skip to content
Deterministic Chaos in Infinite Quantum Systems Preview this item
ClosePreview this item
Checking...

Deterministic Chaos in Infinite Quantum Systems

Author: Fabio Benatti
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1993.
Series: Trieste notes in physics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The concept of entropy as established by Kolmogorov and Sinai turned out to be a useful tool in classical ergodic theory, especially for studying the irregular behaviour of systems. Recently an analogous concept of (non-commutative) entropy for infinite quantum systems was introduced using the algebraic framework of operator algebras. This book, which gives all the definitions and many examples, is a detailed review  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Fabio Benatti
ISBN: 9783642849992 3642849997
OCLC Number: 851389127
Description: 1 online resource (vi, 225 pages).
Contents: 1 Introduction --
2 Classical Ergodic Theory --
2.1 Irreversibility --
2.2 Entropy --
2.3 Topological Properties of Dynamical Systems --
3 Algebraic Approach to Classical Ergodic Theory --
3.1 Abelian C* Dynamical Systems --
3.2 Abelian W* Dynamical Systems --
3.3 W* Algebras: KS-Entropy and K-Systems --
3.4 C* Algebras: Classical Topological Entropy --
4 Infinite Quantum Systems --
4.1 Useful Tools from Finite Quantum Systems --
4.2 GNS-Construction --
4.3 Ergodic Properties in Quantum Systems --
4.4 Algebraic Quantum Kolmogorov Systems --
5 Connes-Narnhofer-Thirring Entropy --
5.1 Basic Ideas and Construction 1 --
5.2 Basic Ideas and Construction 2 --
5.3 CNT-Entropy: Applications --
5.4 Short History of the Topic and Latest Developments --
5.5 Entropic Quantum Kolmogorov Systems --
5.6 Ideas for a Non-commutative Topological Entropy --
6 Appendix --
References --
Index of Symbols.
Series Title: Trieste notes in physics.
Responsibility: by Fabio Benatti.

Abstract:

The purpose of this volume is to give a detailed account of a series of re- sults concerning some ergodic questions of quantum mechanics which have the past six years following the formulation of a  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/851389127> # Deterministic Chaos in Infinite Quantum Systems
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
   library:oclcnum "851389127" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/30814063#Place/berlin_heidelberg> ; # Berlin, Heidelberg
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   schema:about <http://id.worldcat.org/fast/1063025> ; # Physics
   schema:about <http://id.worldcat.org/fast/1085128> ; # Quantum theory
   schema:about <http://id.worldcat.org/fast/1149832> ; # Thermodynamics
   schema:about <http://dewey.info/class/536.7/e23/> ;
   schema:bookFormat schema:EBook ;
   schema:creator <http://experiment.worldcat.org/entity/work/data/30814063#Person/benatti_fabio> ; # Fabio Benatti
   schema:datePublished "1993" ;
   schema:description "1 Introduction -- 2 Classical Ergodic Theory -- 2.1 Irreversibility -- 2.2 Entropy -- 2.3 Topological Properties of Dynamical Systems -- 3 Algebraic Approach to Classical Ergodic Theory -- 3.1 Abelian C* Dynamical Systems -- 3.2 Abelian W* Dynamical Systems -- 3.3 W* Algebras: KS-Entropy and K-Systems -- 3.4 C* Algebras: Classical Topological Entropy -- 4 Infinite Quantum Systems -- 4.1 Useful Tools from Finite Quantum Systems -- 4.2 GNS-Construction -- 4.3 Ergodic Properties in Quantum Systems -- 4.4 Algebraic Quantum Kolmogorov Systems -- 5 Connes-Narnhofer-Thirring Entropy -- 5.1 Basic Ideas and Construction 1 -- 5.2 Basic Ideas and Construction 2 -- 5.3 CNT-Entropy: Applications -- 5.4 Short History of the Topic and Latest Developments -- 5.5 Entropic Quantum Kolmogorov Systems -- 5.6 Ideas for a Non-commutative Topological Entropy -- 6 Appendix -- References -- Index of Symbols."@en ;
   schema:description "The concept of entropy as established by Kolmogorov and Sinai turned out to be a useful tool in classical ergodic theory, especially for studying the irregular behaviour of systems. Recently an analogous concept of (non-commutative) entropy for infinite quantum systems was introduced using the algebraic framework of operator algebras. This book, which gives all the definitions and many examples, is a detailed review of this recent work. It compares classical and quantum random behaviour. The notion of quantum chaos is discussed in detail. The book is a review of important work still in progress; it addresses researchers and graduate students."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/30814063> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/30814063#Series/trieste_notes_in_physics> ; # Trieste notes in physics.
   schema:isSimilarTo <http://worldcat.org/entity/work/data/30814063#CreativeWork/> ;
   schema:name "Deterministic Chaos in Infinite Quantum Systems"@en ;
   schema:productID "851389127" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/851389127#PublicationEvent/berlin_heidelberg_springer_berlin_heidelberg_1993> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/30814063#Agent/springer_berlin_heidelberg> ; # Springer Berlin Heidelberg
   schema:url <http://dx.doi.org/10.1007/978-3-642-84999-2> ;
   schema:url <http://link.springer.com/10.1007/978-3-642-84999-2> ;
   schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=3095359> ;
   schema:workExample <http://worldcat.org/isbn/9783642849992> ;
   schema:workExample <http://dx.doi.org/10.1007/978-3-642-84999-2> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/851389127> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/30814063#Agent/springer_berlin_heidelberg> # Springer Berlin Heidelberg
    a bgn:Agent ;
   schema:name "Springer Berlin Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/30814063#Person/benatti_fabio> # Fabio Benatti
    a schema:Person ;
   schema:familyName "Benatti" ;
   schema:givenName "Fabio" ;
   schema:name "Fabio Benatti" ;
    .

<http://experiment.worldcat.org/entity/work/data/30814063#Place/berlin_heidelberg> # Berlin, Heidelberg
    a schema:Place ;
   schema:name "Berlin, Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/30814063#Series/trieste_notes_in_physics> # Trieste notes in physics.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/851389127> ; # Deterministic Chaos in Infinite Quantum Systems
   schema:name "Trieste notes in physics." ;
   schema:name "Trieste Notes in Physics" ;
    .

<http://id.worldcat.org/fast/1063025> # Physics
    a schema:Intangible ;
   schema:name "Physics"@en ;
    .

<http://id.worldcat.org/fast/1085128> # Quantum theory
    a schema:Intangible ;
   schema:name "Quantum theory"@en ;
    .

<http://id.worldcat.org/fast/1149832> # Thermodynamics
    a schema:Intangible ;
   schema:name "Thermodynamics"@en ;
    .

<http://link.springer.com/10.1007/978-3-642-84999-2>
   rdfs:comment "from Springer" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://worldcat.org/entity/work/data/30814063#CreativeWork/>
    a schema:CreativeWork ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/851389127> ; # Deterministic Chaos in Infinite Quantum Systems
    .

<http://worldcat.org/isbn/9783642849992>
    a schema:ProductModel ;
   schema:isbn "3642849997" ;
   schema:isbn "9783642849992" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.