A First Course in Topos Quantum Theory
Author:   Cecilia Flori
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2013 ed.
Volume:   868
ISBN:  

9783642357121


Pages:   449
Publication Date:   10 April 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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A First Course in Topos Quantum Theory


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Full Product Details

Author:   Cecilia Flori
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013 ed.
Volume:   868
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   6.964kg
ISBN:  

9783642357121


ISBN 10:   3642357121
Pages:   449
Publication Date:   10 April 2013
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

Reviews

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)


From the reviews: 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)


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