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A First Course in Topos Quantum Theory

BuchKartoniert, Paperback
449 Seiten
Englisch
Springererschienen am10.04.2013
In the last five decades various attempts to formulate theories of quantum gravity have been made, but none has fully succeeded in becoming the quantum theory of gravity.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR74,89
E-BookPDF1 - PDF WatermarkE-Book
EUR90,94

Produkt

KlappentextIn the last five decades various attempts to formulate theories of quantum gravity have been made, but none has fully succeeded in becoming the quantum theory of gravity.
ZusammenfassungThis book explains to graduate students and newcomers to the field how topos theory can be used to overcome critical issues in present-day quantum physics and how it brings quantum physics back to looking more like a neo-realist classical physics theory again.
Details
ISBN/GTIN978-3-642-35712-1
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2013
Erscheinungsdatum10.04.2013
ReiheLecture Notes in Physics
Seiten449 Seiten
SpracheEnglisch
Gewicht686 g
IllustrationenXIII, 449 p. 8 illus.
Artikel-Nr.18913303

Inhalt/Kritik

Inhaltsverzeichnis
Introduction.- Philosophical Motivations.- Kochen-Specker Theorem.- Introducing Category Theory.- Functors.- The Category of Functors.- Topos.- Topos of Presheaves.- Topos Analogue of the State Space.- Topos Analogue of Propositions.- Topos Analogues of States.- Truth Values.- Quantity Value Object and Physical Quantities.- Sheaves.- Probabilities in Topos Quantum theory.- Group Action in Topos Quantum Theory.- Topos History Quantum Theory.- Normal Operators.- KMS States.- Future Research.- Topos and Logic.- Worked out Examples.mehr
Kritik
From the reviews:

"This text presents a reformulation of quantum theory in terms of modern mathematical framework called topos theory. ... This is one of the first text to address all of these aspects of topos quantum theory at the graduate student level." (S. Moskaliuk, zbMATH, Vol. 1280, 2014)
"The book is self-contained and can be used as a textbook or self-study manual teaching the usage of category theory and topos theory in particular in theoretical physics or in investigating the foundations of quantum theory in mathematically rigorous terms. ... the book is a very welcome contribution." (Frank Antonsen, Mathematical Reviews, December, 2013)mehr