Quantum Symmetries
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Quantum Symmetries
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Author : Guillaume Aubrun
language : en
Publisher: Springer
Release Date : 2017-10-11
Quantum Symmetries written by Guillaume Aubrun and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-11 with Mathematics categories.
Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems. A special focus is given to the role of symmetry in non-commutative probability, in the theory of quantum groups, and in quantum physics. The first lecture presents the close connection between distributional symmetries and independence properties. The second introduces many structures (graphs, C*-algebras, discrete groups) whose quantum symmetries are much richer than their classical symmetry groups, and describes the associated quantum symmetry groups. The last lecture shows how functional analytic and geometric ideas can be used to detect and to quantify entanglement in high dimensions. The book will allow graduate students and young researchers to gain a better understanding of free probability, the theory of compact quantum groups, and applications of the theory of Banach spaces to quantum information. The latter applications will also be of interest to theoretical and mathematical physicists working in quantum theory.
Quantum Symmetries
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Author : Alain Connes
language : en
Publisher: North-Holland
Release Date : 1998
Quantum Symmetries written by Alain Connes and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Foreign Language Study categories.
Hardbound. One of the greatest challenges that theoretical physics faces at the end of the century is to blend together the two revolutions of the beginning of the century, namely general relativity and quantum mechanics. One message that has become clear from the start and is common to both revolutions is that there is no limit to the level of sophistication of mathematics that will become essential to physics. This book comprises the lecture notes of the 1995 Les Houches Summer School. The aim of the school was to cover a wide range of areas, from theoretical physics to abstract mathematics, that are relevant in the search of a quantum theory of gravity. The lectures provide a systematic introduction to topological and conformal field theories, supersymmetry and super Yang-Mills theories, string theory and superstring dualities, integrable lattice models and quantum groups, non commutative geometry and the theory of diffeomorphism groups.It is di
Symmetries Unveiled
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Author : Oliver Vella
language : en
Publisher: eBookIt.com
Release Date : 2025-02-27
Symmetries Unveiled written by Oliver Vella and has been published by eBookIt.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Mathematics categories.
Exploring the Mysteries of Representation Theory Dive into the fascinating universe of symmetries and representations, where mathematics unravels the secrets of the universe. Symmetries Unveiled: A Journey Through Representation Theory invites readers on a thrilling expedition through the intricate landscape of mathematical theory and its profound impact on science. As you embark on this mathematical voyage, you'll uncover foundational concepts and historical development behind representation theory. From the elegant symmetries of groups to the groundbreaking applications of linear representations, this book is your gateway to a deeper understanding of the subject. Through chapters dedicated to Lie algebras, root systems, and quantum groups, the narrative weaves a tapestry of knowledge that connects abstract theory with real-world applications. Imagine navigating the compelling world of Kac-Moody algebras, discovering the role of crystal bases, and unlocking the mysteries of non-linear realisations. Each chapter promises to ignite curiosity with insights into symmetries in quantum mechanics and their implications in modern physics. Whether you're captivated by symmetry breaking or intrigued by the concept of duality, this book offers a profound exploration of these topics and more. Symmetries Unveiled is not just a book for mathematicians; it's a treasure trove for anyone passionate about the interplay between theory and application in theoretical physics. With chapters on computational approaches, educational techniques, and interdisciplinary impacts, it also serves as a comprehensive guide for educators and researchers alike. The culmination of the journey is an exploration of open problems and philosophical insights, paving the way for future exploration and discovery. Join this intellectual adventure and let Symmetries Unveiled transform your understanding of the mathematical principles that underpin the very fabric of reality.
Symmetries Lie Algebras And Representations
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Author : Jürgen Fuchs
language : en
Publisher: Cambridge University Press
Release Date : 2003-10-07
Symmetries Lie Algebras And Representations written by Jürgen Fuchs 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 2003-10-07 with Mathematics categories.
This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.
New Symmetry Principles In Quantum Field Theory
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Author : J. Frölich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Symmetry Principles In Quantum Field Theory written by J. Frölich 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 2012-12-06 with Science categories.
Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed.
Quantum Symmetries Proceedings Of The International Workshop On Mathematical Physics
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Author : Heinz-dietrich Doebner
language : en
Publisher: World Scientific
Release Date : 1993-10-29
Quantum Symmetries Proceedings Of The International Workshop On Mathematical Physics written by Heinz-dietrich Doebner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-29 with categories.
Quantum symmetry modelled through quantum group or its dual, quantum algebra, is a very active field of relevant physical and mathematical research stimulated often by physical intuition and with promising physical applications. This volume gives some information on the progress of this field during the years after the quantum group workshop in Clausthal 1989. Quantum symmetry is connected with very different approaches and views. The field is not yet coherent; there are different notions of quantum groups and of quantum algebras through algebraic deformations of groups and algebras. Hence its development has various directions following more special mathematical and physical interests.
Quantum Symmetries On Operator Algebras
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Author : David E. Evans
language : en
Publisher:
Release Date : 1998
Quantum Symmetries On Operator Algebras written by David E. Evans and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Quantum groups categories.
Quantum Mechanics
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Author : Walter Greiner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantum Mechanics written by Walter Greiner 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 2012-12-06 with Science categories.
Greiner's lectures, which underlie these volumes, are internationally noted for their clarity, their completeness and for the effort that he has devoted to making physics an integral whole; his enthusiasm for his science is contagious and shines through almost every page. These volumes represent only a part of a unique and Herculean effort to make all of theoretical physics accessible to the interested student. Beyond that, they are of enormous value to the professional physicist and to all others working with quantum phenomena. Again and again the reader will find that, after dipping into a particular volume to review a specific topic, he will end up browsing, caught up by often fascinating new insights and developments with which he had not previously been familiar. Having used a number of Greiner's volumes in their original German in my teaching and research at Yale, I welcome these new and revised English translations and would recommend them enthusiastically to anyone searching for a coherent overview of physics.
Multivariable Operator Theory
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Author : Ernst Albrecht
language : en
Publisher: Springer Nature
Release Date : 2023-12-21
Multivariable Operator Theory written by Ernst Albrecht and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-21 with Mathematics categories.
Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Supersymmetries And Quantum Symmetries
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Author : Julius Wess
language : en
Publisher: Springer
Release Date : 1999-06-21
Supersymmetries And Quantum Symmetries written by Julius Wess and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-21 with Mathematics categories.
This book is a collection of papers in honour of Victor I. Ogievetsky. It contains reviews on supersymmetry and supergravity, dualities, integrable systems, W (super)algebras and quantum symmetries. The reader will also find reprints of some of Ogievetsky's pioneering work on supersymmetry.