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Categorical quantum models and logics /

Annotation This dissertation studies the logic behind quantum physics, using category theory as the principal tool and conceptual guide. To do so, principles of quantum mechanics are modeled categorically. These categorical quantum models are justified by an embedding into the category of Hilbert sp...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Heunen, Chris, 1982-
Formato: Tesis Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Pallas Publications, 2009.
Colección:Pallas Proefschriften.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Heunen, Chris,  |d 1982- 
245 1 0 |a Categorical quantum models and logics /  |c Chris Heunen. 
260 |a Amsterdam :  |b Pallas Publications,  |c 2009. 
300 |a 1 online resource (214 pages) 
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490 1 |a Pallas Proefschriften 
502 |a Proefschrift--Radboud Universiteit Nijmegen, 2010. 
504 |a Includes bibliographical references (pages 181-193) and index. 
588 0 |a Print version record. 
520 8 |a Annotation This dissertation studies the logic behind quantum physics, using category theory as the principal tool and conceptual guide. To do so, principles of quantum mechanics are modeled categorically. These categorical quantum models are justified by an embedding into the category of Hilbert spaces, the traditional formalism of quantum physics. In particular, complex numbers emerge without having been prescribed explicitly. Interpreting logic in such categories results in orthomodular property lattices, and furthermore provides a natural setting to consider quantifiers. Finally, topos theory, incorporating categorical logic in a refined way, lets one study a quantum system as if it were classical, in particular leading to a novel mathematical notion of quantum- This title can be previewed in Google Books - http://books.google.com/books?vid=ISBN9789085550242. 
546 |a With a summary in Dutch. 
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650 0 |a Quantum theory. 
650 6 |a Théorie quantique. 
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650 7 |a MATHEMATICS  |x Essays.  |2 bisacsh 
650 7 |a Quantum theory  |2 fast 
655 7 |a dissertations.  |2 aat 
655 7 |a Academic theses  |2 fast 
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