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A Second Course in Topos Quantum Theory

Author: Cecilia Flori

Publisher: Springer

Published: 2018-02-08

Total Pages: 342

ISBN-13: 3319711083

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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

Book Synopsis A Second Course in Topos Quantum Theory by : Cecilia Flori

Download or read book A Second Course in Topos Quantum Theory written by Cecilia Flori and published by Springer. This book was released on 2018-02-08 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Topos Quantum Theory

Author: Cecilia Flori

Publisher: Springer

Published: 2013-03-27

Total Pages: 452

ISBN-13: 364235713X

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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.

Book Synopsis A First Course in Topos Quantum Theory by : Cecilia Flori

Download or read book A First Course in Topos Quantum Theory written by Cecilia Flori and published by Springer. This book was released on 2013-03-27 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Mechanics II

Author: Rubin H. Landau

Publisher: Wiley-VCH

Published: 1990-02-08

Total Pages: 516

ISBN-13:

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The first section presents detailed and thorough coverage of integral quantum mechanics and scattering. In the second section, an operational treatment of relativistic quantum mechanics is provided. Quantum fields are introduced in the third part, using perturbation theory to emphasize the connections with familiar quantum mechanics, and the field theory is illustrated with examples of actual physical processes.

Book Synopsis Quantum Mechanics II by : Rubin H. Landau

Download or read book Quantum Mechanics II written by Rubin H. Landau and published by Wiley-VCH. This book was released on 1990-02-08 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first section presents detailed and thorough coverage of integral quantum mechanics and scattering. In the second section, an operational treatment of relativistic quantum mechanics is provided. Quantum fields are introduced in the third part, using perturbation theory to emphasize the connections with familiar quantum mechanics, and the field theory is illustrated with examples of actual physical processes.

New Structures for Physics

Author: Bob Coecke

Publisher: Springer Science & Business Media

Published: 2011

Total Pages: 1034

ISBN-13: 3642128203

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This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.

Book Synopsis New Structures for Physics by : Bob Coecke

Download or read book New Structures for Physics written by Bob Coecke and published by Springer Science & Business Media. This book was released on 2011 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. These include the theory of monoidal categories and corresponding graphical calculi, Girard’s linear logic, Scott domains, lambda calculus and corresponding logics for typing, topos theory, and more general process structures. Most of these structures are very prominent in computer science; the chapters here are tailored towards an audience of physicists.

Six Quantum Pieces

Author: Valerio Scarani

Publisher: World Scientific

Published: 2010

Total Pages: 159

ISBN-13: 9814327530

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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.

Book Synopsis Six Quantum Pieces by : Valerio Scarani

Download or read book Six Quantum Pieces written by Valerio Scarani and published by World Scientific. This book was released on 2010 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Short Course in Quantum Information Theory

Author: Lajos Diosi

Publisher: Springer

Published: 2007-02-19

Total Pages: 128

ISBN-13: 3540389962

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This concise primer combines the twin vantage points of theoretical physics and the unity of physics. It strips quantum information science to its basics by linking it to universal concepts in physics. Designed as an extensive lecture rather than a textbook, the book is based on courses delivered over several years to advanced undergraduate and beginning graduate students, and addresses anyone with a working knowledge of basic quantum physics.

Book Synopsis A Short Course in Quantum Information Theory by : Lajos Diosi

Download or read book A Short Course in Quantum Information Theory written by Lajos Diosi and published by Springer. This book was released on 2007-02-19 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise primer combines the twin vantage points of theoretical physics and the unity of physics. It strips quantum information science to its basics by linking it to universal concepts in physics. Designed as an extensive lecture rather than a textbook, the book is based on courses delivered over several years to advanced undergraduate and beginning graduate students, and addresses anyone with a working knowledge of basic quantum physics.

Reality and Measurement in Algebraic Quantum Theory

Author: Masanao Ozawa

Publisher: Springer

Published: 2018-11-02

Total Pages: 396

ISBN-13: 9811324875

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This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.

Book Synopsis Reality and Measurement in Algebraic Quantum Theory by : Masanao Ozawa

Download or read book Reality and Measurement in Algebraic Quantum Theory written by Masanao Ozawa and published by Springer. This book was released on 2018-11-02 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.

30-second Quantum Theory

Author: Philip Ball

Publisher:

Published: 2014

Total Pages: 160

ISBN-13: 9781435160859

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"30-Second Quantum Theory tackles a mindbendingly mysterious area of physics, introducing the 50 most significant quantum quandaries and ideas. At a time when the quantum physics of electronics is an everyday essential and new quantum developments make headline news, you will visit parallel worlds, ride wave theory and learn enough to talk with certainty about Uncertainty Principle and to untagle the mysteries of quantum entanglement,"--

Book Synopsis 30-second Quantum Theory by : Philip Ball

Download or read book 30-second Quantum Theory written by Philip Ball and published by . This book was released on 2014 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: "30-Second Quantum Theory tackles a mindbendingly mysterious area of physics, introducing the 50 most significant quantum quandaries and ideas. At a time when the quantum physics of electronics is an everyday essential and new quantum developments make headline news, you will visit parallel worlds, ride wave theory and learn enough to talk with certainty about Uncertainty Principle and to untagle the mysteries of quantum entanglement,"--

A First Course in Loop Quantum Gravity

Author: Rodolfo Gambini

Publisher: Oxford University Press

Published: 2011-09-22

Total Pages: 192

ISBN-13: 0199590753

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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.

Book Synopsis A First Course in Loop Quantum Gravity by : Rodolfo Gambini

Download or read book A First Course in Loop Quantum Gravity written by Rodolfo Gambini and published by Oxford University Press. This book was released on 2011-09-22 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to the Mathematical Structure of Quantum Mechanics

Author: Franco Strocchi

Publisher:

Published: 2008

Total Pages: 193

ISBN-13: 9789812835239

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Book Synopsis An Introduction to the Mathematical Structure of Quantum Mechanics by : Franco Strocchi

Download or read book An Introduction to the Mathematical Structure of Quantum Mechanics written by Franco Strocchi and published by . This book was released on 2008 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: