A First Course In Topos Quantum Theory
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A First Course In Topos Quantum Theory
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Author : Cecilia Flori
language : en
Publisher: Springer
Release Date : 2013-03-27
A First Course In Topos Quantum Theory written by Cecilia Flori and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-27 with Science categories.
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. One possible explanation for this failure might be the unresolved fundamental issues in quantum theory as it stands now. Indeed, most approaches to quantum gravity adopt standard quantum theory as their starting point, with the hope that the theory’s unresolved issues will get solved along the way. However, these fundamental issues may need to be solved before attempting to define a quantum theory of gravity. The present text adopts this point of view, addressing the following basic questions: What are the main conceptual issues in quantum theory? How can these issues be solved within a new theoretical framework of quantum theory? A possible way to overcome critical issues in present-day quantum physics – such as a priori assumptions about space and time that are not compatible with a theory of quantum gravity, and the impossibility of talking about systems without reference to an external observer – is through a reformulation of quantum theory in terms of a different mathematical framework called topos theory. This course-tested primer sets out to explain to graduate students and newcomers to the field alike, the reasons for choosing topos theory to resolve the above-mentioned issues and how it brings quantum physics back to looking more like a “neo-realist” classical physics theory again.
A Second Course In Topos Quantum Theory
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Author : Cecilia Flori
language : en
Publisher: Springer
Release Date : 2018-02-08
A Second Course In Topos Quantum Theory written by Cecilia Flori and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-08 with Science categories.
This advanced course, a sequel to the first volume of this lecture series on topos quantum theory, delves deeper into the theory, addressing further technical aspects and recent advances. These include, but are not limited to, the development of physical quantities and self-adjoint operators; insights into the quantization process; the description of an alternative, covariant version of topos quantum theory; and last but not least, the development of a new concept of spacetime. The book builds on the concepts introduced in the first volume (published as Lect. Notes Phys. 868), which presents the main building blocks of the theory and how it could provide solutions to interpretational problems in quantum theory, such as: What are the main conceptual issues in quantum theory? And how can these issues be solved within a new theoretical framework of quantum theory? These two volumes together provide a complete, basic course on topos quantum theory, offering a set of mathematical tools to readers interested in tackling fundamental issues in quantum theory in general, and in quantum gravity in particular. From the reviews of the first volume: 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
A First Course In Loop Quantum Gravity
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Author : Rodolfo Gambini
language : en
Publisher: Oxford University Press
Release Date : 2011-09-22
A First Course In Loop Quantum Gravity written by Rodolfo Gambini and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Science categories.
Loop quantum gravity is one of the modern contenders for a unified description of quantum mechanics and gravity. Up to now no book has covered the material at the level of a college student or of other readers with some knowledge of college level physics. This book fills that gap.
Six Quantum Pieces
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Author : Valerio Scarani
language : en
Publisher: World Scientific
Release Date : 2010
Six Quantum Pieces written by Valerio Scarani and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
Quantum physics is known to be challenging for two reasons: it describes counter-intuitive phenomena and employs rather advanced mathematics. This title presents a fresh approach to quantum physics, the core of modern physics.
Quantum Mechanics
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Author : B. Cameron Reed
language : en
Publisher:
Release Date : 1995-01-01
Quantum Mechanics written by B. Cameron Reed and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Quantum theory categories.
A First Course In Quantum Mechanics
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Author : Hylton Clark
language : en
Publisher: Van Nostrand Reinhold Company
Release Date : 1982-01-01
A First Course In Quantum Mechanics written by Hylton Clark and has been published by Van Nostrand Reinhold Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-01-01 with Kwantumteorie categories.
Beyond Peaceful Coexistence
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Author : Licata Ignazio
language : en
Publisher: World Scientific
Release Date : 2016-03-30
Beyond Peaceful Coexistence written by Licata Ignazio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-30 with Science categories.
'It may be that a real synthesis of quantum and relativity theories requires not just technical developments but radical conceptual renewal.'J S BellBeyond Peaceful Coexistence: The Emergence of Space, Time and Quantum brings together leading academics in mathematics and physics to address going beyond the 'peaceful coexistence' of space-time descriptions (local and continuous ones) and quantum events (discrete and non-commutative ones). Formidable challenges waiting beyond the Standard Model require a new semantic consistency within the theories in order to build new ways of understanding, working and relating to them. The original A. Shimony meaning of the peaceful coexistence (the collapse postulate and non-locality) appear to be just the tip of the iceberg in relation to more serious fundamental issues across physics as a whole.Chapters in this book present perspectives on emergent, discrete, geometrodynamic and topological approaches, as well as a new interpretative spectrum of quantum theories after Copenhagen, discrete time theories, time-less approaches and 'super-fluid' pictures of space-time.As well as stimulating further research among established theoretical physicists, the book can also be used in courses on the philosophy and mathematics of theoretical physics.
A First Course In The Sporadic Sics
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Author : Blake C. Stacey
language : en
Publisher: Springer Nature
Release Date : 2021-05-31
A First Course In The Sporadic Sics written by Blake C. Stacey and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-31 with Science categories.
This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8. These objects stand out in ways that have earned them the moniker of "sporadic SICs". By some standards, they are more approachable than the other known SICs, while by others they are simply atypical. The author forays into quantum information theory using them as examples, and the author explores their connections with other exceptional objects like the Leech lattice and integral octonions. The sporadic SICs take readers from the classification of finite simple groups to Bell's theorem and the discovery that "hidden variables" cannot explain away quantum uncertainty. While no one department teaches every subject to which the sporadic SICs pertain, the topic is approachable without too much background knowledge. The book includes exercises suitable for an elective at the graduate or advanced undergraduate level.
Quantum Theory From First Principles
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Author : Giacomo Mauro D'Ariano
language : en
Publisher: Cambridge University Press
Release Date : 2017-01-28
Quantum Theory From First Principles written by Giacomo Mauro D'Ariano and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-28 with Science categories.
A new presentation of quantum theory and quantum information based on fundamental principles, for anyone seeking a deeper understanding of the subject.
Foundations Of Quantum Theory
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Author : Klaas Landsman
language : en
Publisher: Springer
Release Date : 2017-05-11
Foundations Of Quantum Theory written by Klaas Landsman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-11 with Science categories.
This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This book is Open Access under a CC BY licence.