Quantum Space
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Quantum Functional Analysis
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Author : Aleksandr I︠A︡kovlevich Khelemskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Quantum Functional Analysis written by Aleksandr I︠A︡kovlevich Khelemskiĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This book contains a systematic presentation of quantum functional analysis, a mathematical subject also known as operator space theory. Created in the 1980s, it nowadays is one of the most prominent areas of functional analysis, both as a field of active research and as a source of numerous important applications. The approach taken in this book differs significantly from the standard approach used in studying operator space theory. Instead of viewing ""quantized coefficients"" as matrices in a fixed basis, in this book they are interpreted as finite rank operators in a fixed Hilbert space. This allows the author to replace matrix computations with algebraic techniques of module theory and tensor products, thus achieving a more invariant approach to the subject. The book can be used by graduate students and research mathematicians interested in functional analysis and related areas of mathematics and mathematical physics. Prerequisites include standard courses in abstract algebra and functional analysis.|This book contains a systematic presentation of quantum functional analysis, a mathematical subject also known as operator space theory. Created in the 1980s, it nowadays is one of the most prominent areas of functional analysis, both as a field of active research and as a source of numerous important applications. The approach taken in this book differs significantly from the standard approach used in studying operator space theory. Instead of viewing ""quantized coefficients"" as matrices in a fixed basis, in this book they are interpreted as finite rank operators in a fixed Hilbert space. This allows the author to replace matrix computations with algebraic techniques of module theory and tensor products, thus achieving a more invariant approach to the subject. The book can be used by graduate students and research mathematicians interested in functional analysis and related areas of mathematics and mathematical physics. Prerequisites include standard courses in abstract algebra and functional analysis.
Quantum Space
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Author : Jim Baggott
language : en
Publisher: Oxford University Press
Release Date : 2018-11-15
Quantum Space written by Jim Baggott 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 2018-11-15 with Science categories.
Combining clear discussions of both quantum theory and general relativity, this book offers one of the first efforts to explain the new quantum theory of space and time. Today we are blessed with two extraordinarily successful theories of physics. The first is Albert Einstein's general theory of relativity, which describes the large-scale behaviour of matter in a curved spacetime. This theory is the basis for the standard model of big bang cosmology. The discovery of gravitational waves at the LIGO observatory in the US (and then Virgo, in Italy) is only the most recent of this theory's many triumphs. The second is quantum mechanics. This theory describes the properties and behaviour of matter and radiation at their smallest scales. It is the basis for the standard model of particle physics, which builds up all the visible constituents of the universe out of collections of quarks, electrons and force-carrying particles such as photons. The discovery of the Higgs boson at CERN in Geneva is only the most recent of this theory's many triumphs. But, while they are both highly successful, these two structures leave a lot of important questions unanswered. They are also based on two different interpretations of space and time, and are therefore fundamentally incompatible. We have two descriptions but, as far as we know, we've only ever had one universe. What we need is a quantum theory of gravity. Approaches to formulating such a theory have primarily followed two paths. One leads to String Theory, which has for long been fashionable, and about which much has been written. But String Theory has become mired in problems. In this book, Jim Baggott describes "the road less travelled": an approach which takes relativity as its starting point, and leads to a structure called Loop Quantum Gravity. Baggott tells the story through the careers and pioneering work of two of the theory's most prominent contributors, Lee Smolin and Carlo Rovelli.
Group 24
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Author : J.P Gazeau
language : en
Publisher: CRC Press
Release Date : 2003-11-30
Group 24 written by J.P Gazeau and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-30 with Mathematics categories.
As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections.
Nuclear Science Abstracts
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Author :
language : en
Publisher:
Release Date : 1957
Nuclear Science Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Nuclear energy categories.
Works
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Author : Thomas Hill Green
language : en
Publisher:
Release Date : 1890
Works written by Thomas Hill Green and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1890 with Philosophy, Modern categories.
Advances In Hopf Algebras
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Author : Jeffrey Bergen
language : en
Publisher: CRC Press
Release Date : 2023-08-18
Advances In Hopf Algebras written by Jeffrey Bergen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-18 with Mathematics categories.
"This remarkable reference covers topics such as quantum groups, Hopf Galois theory, actions and coactions of Hopf algebras, smash and crossed products, and the structure of cosemisimple Hopf algebras. "
Physics Of Emergence And Organization
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Author : Ignazio Licata
language : en
Publisher: World Scientific
Release Date : 2008
Physics Of Emergence And Organization written by Ignazio Licata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
This book is a state-of-the-art review on the Physics of Emergence. The challenge of complexity is to focus on the description levels of the observer in context-dependent situations. Emergence is not only an heuristic approach to complexity, but it also urges us to face a much deeper question ? what do we think is fundamental in the physical world?This volume provides significant and pioneering contributions based on rigorous physical and mathematical approaches ? with particular reference to the syntax of Quantum Physics and Quantum Field Theory ? dealing with the bridge-laws and their limitations between Physics and Biology, without failing to discuss the involved epistemological features.Physics of Emergence and Organization is an interdisciplinary source of reference for students and experts whose interests cross over to complexity issues.
Still Hours
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Author : Richard Rothe
language : en
Publisher: S.R. Briggs
Release Date : 1886
Still Hours written by Richard Rothe and has been published by S.R. Briggs this book supported file pdf, txt, epub, kindle and other format this book has been release on 1886 with Christian life categories.
Philosophical Works
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Author : Thomas Hill Green
language : en
Publisher:
Release Date : 1886
Philosophical Works written by Thomas Hill Green and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1886 with Philosophy, Modern categories.
Quantum Fields And Quantum Space Time
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Author : Gerard 't Hooft
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Quantum Fields And Quantum Space Time written by Gerard 't Hooft and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
The 1996 NATO Advanced Study Institute (ASI) followed the international tradi tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in certain supersymmetric gauge theories. The school reviewed these developments. Lectures were included to explain how the "monopole equations" of Seiberg and Witten can be exploited. They were presented by E. Rabinovici, and supplemented by an extra 2 hours of lectures by A. Bilal. Both the N = 1 and N = 2 supersymmetric Yang Mills theory and resulting equivalences between field theories with different gauge group were discussed in detail. There are several roads to quantum space time and a unification of quantum theory and gravity. There is increasing evidence that canonical gravity might be a consistent theory after all when treated in. a nonperturbative fashion. H. Nicolai presented a series of introductory lectures. He dealt in detail with an integrable model which is obtained by dimensional reduction in the presence of a symmetry.