Dynamics, Information and Complexity in Quantum Systems

The leading theme of the book is complexity in quantum dynamics. This issue is addressed by comparison with the classical ergodic, information and algorithmic complexity theories. Of particular importance is the notion of Kolmogorov-Sinai dynamical entropy and of its inequivalent quantum extensions...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Benatti, Fabio (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Theoretical and Mathematical Physics,
Temas:
Spintronics.
Dynamical systems.
Quantum physics.
Mathematical physics.
System theory.
Dynamical Systems.
Quantum Physics.
Mathematical Methods in Physics.
Complex Systems.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Descripción
Sumario:The leading theme of the book is complexity in quantum dynamics. This issue is addressed by comparison with the classical ergodic, information and algorithmic complexity theories. Of particular importance is the notion of Kolmogorov-Sinai dynamical entropy and of its inequivalent quantum extensions formulated by Connes, Narnhofer and Thirring on one hand and Alicki and Fannes on the other. Their connections with extensions to quantum systems of Kolmogorov-Chaitin-Solomonoff algorithmic complexity theory is also presented. The technical tools employed are those of the algebraic approach to quantum statistical mechanics which offers a unifying view of classical and quantum dynamical systems. Proofs and examples are provided in order to make the presentation self consistent.
Descripción Física:XII, 536 p. online resource.
ISBN:9781402093067
ISSN:1864-5887

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