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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Tesis Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Pallas Publications,
2009.
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| Colección: | Pallas Proefschriften.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (214 pages) |
| Bibliografía: | Includes bibliographical references (pages 181-193) and index. |
| ISBN: | 9789048511341 9048511348 9789085550242 9085550246 |