Quantum Symmetries

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Quantum Theory and Symmetries

M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Quantum Theory and Symmetries Book PDF

Author : M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Publisher : Springer Nature
Page : 670 pages
File Size : 51,6 Mb
Release : 2021
Category : Electronic books
ISBN : 9783030557775

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Quantum Theory and Symmetries by M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa Pdf

This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .

Symmetries in Quantum Physics

U. Fano,A. R.P. Rau
Symmetries in Quantum Physics Book PDF

Author : U. Fano,A. R.P. Rau
Publisher : Elsevier
Page : 349 pages
File Size : 53,7 Mb
Release : 1996-06-17
Category : Science
ISBN : 9780080542171

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Symmetries in Quantum Physics by U. Fano,A. R.P. Rau Pdf

This text focuses on the physics of symmetries, developing symmetries and transformations through concrete physical examples and contexts rather than presenting the information axiomatically, mathematically, and abstractly. Readers are introduced gradually to advanced mathematical procedures, including the Wigner and Racah algebras and their applications to various symmetry groups. The book also includes some of the latest research on the use of non-invariance and non-compact groups in the consideration of relativistic and many-particle problems of atoms and nuclei. This book is an updated replacement for the text Irreducible Tensorial Sets (Academic Press, 1959). Parts A and B of the present book grew out of occasional lectures in the intervening decades at the University of Chicago, where it became neccessary to update or elaborate upon certain points. Part C has been built more recently to deal with innovations and new information in the field of mathematical physics. The book as a whole develops the subject of symmetry from a physical point of view, allowing students and researchers to gain new insight on their subject. This book can be used both as a text and as a reference by students and scientists in the field. Adapts and extends the earlier Irreducible Tensor Sets (Academic Press, 1959) to classroom use Extends to multi-particle systems and relativity Includes problems in each chapter for homework assignments Embraces the latest research on non-invariance groups

Quantum Symmetries

Guillaume Aubrun,Adam Skalski,Roland Speicher
Quantum Symmetries Book PDF

Author : Guillaume Aubrun,Adam Skalski,Roland Speicher
Publisher : Springer
Page : 119 pages
File Size : 54,6 Mb
Release : 2017-10-11
Category : Mathematics
ISBN : 9783319632063

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Quantum Symmetries by Guillaume Aubrun,Adam Skalski,Roland Speicher Pdf

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 Mechanics

Walter Greiner,Berndt Müller
Quantum Mechanics Book PDF

Author : Walter Greiner,Berndt Müller
Publisher : Springer Science & Business Media
Page : 538 pages
File Size : 42,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642579769

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Quantum Mechanics by Walter Greiner,Berndt Müller Pdf

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.

Quantum Symmetries - Proceedings Of The International Workshop On Mathematical Physics

Doebner Heinz-dietrich,Dobrev Vladimir K
Quantum Symmetries Proceedings Of The International Workshop On Mathematical Physics Book PDF

Author : Doebner Heinz-dietrich,Dobrev Vladimir K
Publisher : World Scientific
Page : 392 pages
File Size : 41,7 Mb
Release : 1993-10-29
Category : Electronic
ISBN : 9789814552790

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Quantum Symmetries - Proceedings Of The International Workshop On Mathematical Physics by Doebner Heinz-dietrich,Dobrev Vladimir K Pdf

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

Alain Connes,K. Gawędzki,Jean Zinn-Justin
Quantum Symmetries Book PDF

Author : Alain Connes,K. Gawędzki,Jean Zinn-Justin
Publisher : North-Holland
Page : 1038 pages
File Size : 41,6 Mb
Release : 1998
Category : Geometric quantization
ISBN : UCSC:32106013762197

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Quantum Symmetries by Alain Connes,K. Gawędzki,Jean Zinn-Justin Pdf

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

New Symmetry Principles in Quantum Field Theory

J. Frölich,Gerard 't Hooft,Arthur Jaffe,Gerhard Mack,Pronob K. Mitter,Raymond Stora
New Symmetry Principles in Quantum Field Theory Book PDF

Author : J. Frölich,Gerard 't Hooft,Arthur Jaffe,Gerhard Mack,Pronob K. Mitter,Raymond Stora
Publisher : Springer Science & Business Media
Page : 528 pages
File Size : 49,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461534723

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New Symmetry Principles in Quantum Field Theory by J. Frölich,Gerard 't Hooft,Arthur Jaffe,Gerhard Mack,Pronob K. Mitter,Raymond Stora Pdf

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.

Physics from Symmetry

Jakob Schwichtenberg
Physics from Symmetry Book PDF

Author : Jakob Schwichtenberg
Publisher : Springer
Page : 287 pages
File Size : 45,9 Mb
Release : 2017-12-01
Category : Science
ISBN : 9783319666310

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Physics from Symmetry by Jakob Schwichtenberg Pdf

This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.

Quantum Theory and Symmetries

P C Argyres,T J Hodges,F Mansouri,J J Scanio,P Suranyi,L C R Wijewardhana
Quantum Theory and Symmetries Book PDF

Author : P C Argyres,T J Hodges,F Mansouri,J J Scanio,P Suranyi,L C R Wijewardhana
Publisher : World Scientific
Page : 804 pages
File Size : 50,8 Mb
Release : 2004-10-08
Category : Science
ISBN : 9789814481601

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Quantum Theory and Symmetries by P C Argyres,T J Hodges,F Mansouri,J J Scanio,P Suranyi,L C R Wijewardhana Pdf

The book contains the text of lectures given at the third of a series of biennial symposia in mathematical physics held in odd-numbered years. The subject of the symposium is the frontiers of mathematical physics. It deals with quantum phenomena and includes topics such as string theory and quantum gravity, particle physics and field theory, non-communative geometry, integrable models and infinite dimensional symmetry groups, quantum computing and information processing, and quantum chaos. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Freydoon Mansouri Memorial LecturesAlgebras and RepresentationsQuantization and Quantum GravityD<4 Field TheoriesString and Brane WorldvolumesD>3 Field Theories and GravityString TheoryLoop Quantum GravityLorentz ViolationApplications Readership: Researchers, academics and postgraduates in high energy physics, mathematical physics and atomic physics. Keywords:Mathematical Physics;Strings;Quantum Gravity;Noncommutative Geometry

The Symmetries of Things

John H. Conway,Heidi Burgiel,Chaim Goodman-Strauss
The Symmetries of Things Book PDF

Author : John H. Conway,Heidi Burgiel,Chaim Goodman-Strauss
Publisher : CRC Press
Page : 442 pages
File Size : 49,8 Mb
Release : 2016-04-05
Category : Mathematics
ISBN : 9781439864890

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The Symmetries of Things by John H. Conway,Heidi Burgiel,Chaim Goodman-Strauss Pdf

Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.

Symmetries in Quantum Mechanics

M Chaichian,R Hagedorn
Symmetries in Quantum Mechanics Book PDF

Author : M Chaichian,R Hagedorn
Publisher : CRC Press
Page : 320 pages
File Size : 49,9 Mb
Release : 2023-07-21
Category : Science
ISBN : 9781000944167

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Symmetries in Quantum Mechanics by M Chaichian,R Hagedorn Pdf

Symmetries in Quantum Mechanics: From Angular Momentum to Supersymmetry (PBK) provides a thorough, didactic exposition of the role of symmetry, particularly rotational symmetry, in quantum mechanics. The bulk of the book covers the description of rotations (geometrically and group-theoretically) and their representations, and the quantum theory of angular momentum. Later chapters introduce more advanced topics such as relativistic theory, supersymmetry, anyons, fractional spin, and statistics. With clear, in-depth explanations, the book is ideal for use as a course text for postgraduate and advanced undergraduate students in physics and those specializing in theoretical physics. It is also useful for researchers looking for an accessible introduction to this important area of quantum theory.

Symmetry and Quantum Mechanics

Scott Corry
Symmetry and Quantum Mechanics Book PDF

Author : Scott Corry
Publisher : CRC Press
Page : 177 pages
File Size : 41,7 Mb
Release : 2016-11-25
Category : Mathematics
ISBN : 9781315354606

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Symmetry and Quantum Mechanics by Scott Corry Pdf

Structured as a dialogue between a mathematician and a physicist, Symmetry and Quantum Mechanics unites the mathematical topics of this field into a compelling and physically-motivated narrative that focuses on the central role of symmetry. Aimed at advanced undergraduate and beginning graduate students in mathematics with only a minimal background in physics, this title is also useful to physicists seeking a mathematical introduction to the subject. Part I focuses on spin, and covers such topics as Lie groups and algebras, while part II offers an account of position and momentum in the context of the representation theory of the Heisenberg group, along the way providing an informal discussion of fundamental concepts from analysis such as self-adjoint operators on Hilbert space and the Stone-von Neumann Theorem. Mathematical theory is applied to physical examples such as spin-precession in a magnetic field, the harmonic oscillator, the infinite spherical well, and the hydrogen atom.

Quantum Symmetries on Operator Algebras

David Emrys Evans,Yasuyuki Kawahigashi
Quantum Symmetries on Operator Algebras Book PDF

Author : David Emrys Evans,Yasuyuki Kawahigashi
Publisher : Unknown
Page : 854 pages
File Size : 55,7 Mb
Release : 1998
Category : Mathematics
ISBN : UOM:39015045645184

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Quantum Symmetries on Operator Algebras by David Emrys Evans,Yasuyuki Kawahigashi Pdf

In the last 20 years, the study of operator algebras has developed from a branch of functional analysis to a central field of mathematics with applications in both pure mathematics and mathematical physics. The theory was initiated by von Neumann and Murray as a tool for studying group representations and as a framework for quantum mechanics, and has since kept in touch with its roots in physics as a framework for quantum statistical mechanics and the formalism of algebraic quantum field theory. However, in 1981, the study of operator algebras took a new turn with the introduction by Vaughn Jones of subfactor theory, leading to remarkable connections with knot theory, 3-manifolds, quantum groups, and integrable systems in statistical mechanics and conformal field theory. This book, one of the first in the area, looks at these combinatorial-algebraic developments from the perspective of operator algebras. With minimal prerequisites from classical theory, it brings the reader to the forefront of research.

Symmetries and Groups in Contemporary Physics

Chengming Bai,Jean-Pierre Gazeau,Mo-Lin Ge
Symmetries and Groups in Contemporary Physics Book PDF

Author : Chengming Bai,Jean-Pierre Gazeau,Mo-Lin Ge
Publisher : World Scientific
Page : 664 pages
File Size : 48,5 Mb
Release : 2013-07-26
Category : Mathematics
ISBN : 9789814518567

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Symmetries and Groups in Contemporary Physics by Chengming Bai,Jean-Pierre Gazeau,Mo-Lin Ge Pdf

This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics. Contents:The Wigner MedalThe Hermann Weyl PrizePlenary SessionParallel Sessions:Nonlinear SciencesQuantum AlgebrasSuperintegrable HamiltoniansApplications in BiologyQuantum Information and Representation TheoryFinite Quantum Systems and Combinatorial PhysicsSymmetries in String Theory and SupergravityLoop Quantum GravityTensor and Group Field Theories for Quantum GravityConformal Field TheoriesSupersymmetry and Quantum GroupsApplications in Particle and Nuclear PhysicsGeneral Quantum Mechanics and Its Mathematical Methods Involving Group TheoryPoster Session Readership: Researchers and specialists in group theory and its applications to mathematics, physics and other fields in natural science. Keywords:Symmetries;Group Theory;Quantum Physics;Coherent States;Quantum Information;Nonlinear Physics;Supersymmetry;Quantum Gravity;Strings;Conformal Fields;Tensor Fields;Mathematical Biology;Particle Physics;Quantum Algebras;Foundations Of Quantum Mechanics;Combinatorial PhysicsKey Features:Wide range of topics in theoretical and mathematical physicsContains the most recent developments in innovative fields like quantum information, physics and biology, quantum gravity (e.g., strings, loop, tensor fields approaches), combinatorial physicsCross-sectional view of these developments given by prominent specialists, be they promising young scientists (e.g. Gurau, Chiribella, etc.) or confirmed researchers (e.g., Lewandowski, Batchelor, Wang, Murakami, Busch, etc.)

Supersymmetries and Quantum Symmetries

Julius Wess,Evgeny A. Ivanov
Supersymmetries and Quantum Symmetries Book PDF

Author : Julius Wess,Evgeny A. Ivanov
Publisher : Springer
Page : 472 pages
File Size : 41,9 Mb
Release : 1999-06-21
Category : Mathematics
ISBN : UOM:39015041888184

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Supersymmetries and Quantum Symmetries by Julius Wess,Evgeny A. Ivanov Pdf

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.