Quantum Symmetries In Theoretical Physics And Mathematics

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Quantum Symmetries in Theoretical Physics and Mathematics

M A Lifshits,Robert Coquereaux,School on "Quantum symmetries in theoretical physics and mathematics"
Quantum Symmetries in Theoretical Physics and Mathematics Book PDF

Author : M A Lifshits,Robert Coquereaux,School on "Quantum symmetries in theoretical physics and mathematics"
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 41,8 Mb
Release : 2002
Category : Mathematics
ISBN : 9780821826553

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Quantum Symmetries in Theoretical Physics and Mathematics by M A Lifshits,Robert Coquereaux,School on "Quantum symmetries in theoretical physics and mathematics" Pdf

This volume presents articles from several lectures presented at the school on 'Quantum Symmetries in Theoretical Physics and Mathematics' held in Bariloche, Argentina. The various lecturers provided significantly different points of view on several aspects of Hopf algebras, quantum group theory, and noncommutative differential geometry, ranging from analysis, geometry, and algebra to physical models, especially in connection with integrable systems and conformal field theories. Primary topics discussed in the text include subgroups of quantum $SU(N)$, quantum ADE classifications and generalized Coxeter systems, modular invariance, defects and boundaries in conformal field theory, finite dimensional Hopf algebras, Lie bialgebras and Belavin-Drinfeld triples, real forms of quantum spaces, perturbative and non-perturbative Yang-Baxter operators, braided subfactors in operator algebras and conformal field theory, and generalized ($d^N$) cohomologies.

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 : 50,5 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. .

Symmetry and the Standard Model

Matthew Robinson
Symmetry and the Standard Model Book PDF

Author : Matthew Robinson
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 43,5 Mb
Release : 2011-08-17
Category : Science
ISBN : 9781441982674

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Symmetry and the Standard Model by Matthew Robinson Pdf

While theoretical particle physics is an extraordinarily fascinating field, the incredibly fast pace at which it moves along, combined with the huge amount of background information necessary to perform cutting edge research, poses a formidable challenge for graduate students. This book represents the first in a series designed to assist students in the process of transitioning from coursework to research in particle physics. Rather than reading literally dozens of physics and mathematics texts, trying to assimilate the countless ideas, translate notations and perspectives, and see how it all fits together to get a holistic understanding, this series provides a detailed overview of the major mathematical and physical ideas in theoretical particle physics. Ultimately the ideas will be presented in a unified, consistent, holistic picture, where each topic is built firmly on what has come before, and all topics are related in a clear and intuitive way. This introductory text on quantum field theory and particle physics provides both a self-contained and complete introduction to not only the necessary physical ideas, but also a complete introduction to the necessary mathematical tools. Assuming minimal knowledge of undergraduate physics and mathematics, this book lays both the mathematical and physical groundwork with clear, intuitive explanations and plenty of examples. The book then continues with an exposition of the Standard Model of Particle Physics, the theory that currently seems to explain the universe apart from gravity. Furthermore, this book was written as a primer for the more advanced mathematical and physical ideas to come later in this series.

Quantum Mechanics

Walter Greiner,Berndt Müller
Quantum Mechanics Book PDF

Author : Walter Greiner,Berndt Müller
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 44,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662009024

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Quantum Mechanics by Walter Greiner,Berndt Müller Pdf

"Quantum Dynamics" is a major survey of quantum theory based on Walter Greiner's long-running and highly successful courses at the University of Frankfurt. The key to understanding in quantum theory is to reinforce lecture attendance and textual study by working through plenty of representative and detailed examples. Firm belief in this principle led Greiner to develop his unique course and to transform it into a remarkable and comprehensive text. The text features a large number of examples and exercises involving many of the most advanced topics in quantum theory. These examples give practical and precise demonstrations of how to use the often subtle mathematics behind quantum theory. The text is divided into five volumes: Quantum Mechanics I - An Introduction, Quantum Mechanics II - Symmetries, Relativistic Quantum Mechanics, Quantum Electrodynamics, Gauge Theory of Weak Interactions. These five volumes take the reader from the fundamental postulates of quantum mechanics up to the latest research in particle physics. Volume 2 presents a particularly appealing and successful theme in advanced quantum mechanics - symmetries. After a brief introduction to symmetries in classical mechanics, the text turns to their relevance in quantum mechanics, the consequences of rotation symmetry and the general theory of Lie groups. The Isospin group, hypercharge, SU (3) and their applications are all dealt with in depth before a chapter on charm and SU (3) leads to the frontiers of research in particle physics. Almost a hundred detailed, worked examples and problems make this a truly unique text on a fascinating side of modern physics.

Physics from Symmetry

Jakob Schwichtenberg
Physics from Symmetry Book PDF

Author : Jakob Schwichtenberg
Publisher : Springer
Page : 287 pages
File Size : 41,7 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.

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 : 48,9 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.

Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1

Vladimir Dobrev
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 Book PDF

Author : Vladimir Dobrev
Publisher : Springer
Page : 427 pages
File Size : 40,8 Mb
Release : 2018-11-28
Category : Mathematics
ISBN : 9789811327155

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Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 by Vladimir Dobrev Pdf

This book is the first volume of proceedings from the joint conference X International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), held on 19–25 June 2017 in Varna, Bulgaria. The QTS series was founded on the core principle that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium at the forefront of theoretical and mathematical physics. The LT series covers the whole field of Lie theory in its widest sense, together with its applications in many areas of physics. As an interface between mathematics and physics, the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In dividing the material between the two volumes, the Editor has sought to select papers that are more oriented toward mathematics for the first volume, and those focusing more on physics for the second. However, this division is relative, since many papers are equally suitable for either volume. The topics addressed in this volume represent the latest trends in the fields covered by the joint conferences: representation theory, integrability, entanglement, quantum groups, number theory, conformal geometry, quantum affine superalgebras, noncommutative geometry. Further, they present various mathematical results: on minuscule modules, symmetry breaking operators, Kashiwara crystals, meta-conformal invariance, the superintegrable Zernike system.

Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2

Vladimir Dobrev
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 Book PDF

Author : Vladimir Dobrev
Publisher : Springer
Page : 440 pages
File Size : 48,5 Mb
Release : 2018-09-30
Category : Science
ISBN : 9789811321795

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Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 by Vladimir Dobrev Pdf

This book is the second volume of the proceedings of the joint conference X. International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII. International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), 19–25 June 2017, Varna, Bulgaria. The QTS series started around the core concept that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium on the frontiers of theoretical and mathematical physics. The LT series covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics. As an interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In the division of the material between the two volumes, the Editor has tried to select for the first and second volumes papers that are more oriented toward mathematics and physics, respectively. However, this division is relative since many papers could have been placed in either volume. The topics covered in this volume represent the most modern trends in the fields of the joint conferences: symmetries in string theories, conformal field theory, holography, gravity theories and cosmology, gauge theories, foundations of quantum theory, nonrelativistic and classical theories.

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 : 54,7 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.

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 : 53,8 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

Symmetry Breaking

Franco Strocchi
Symmetry Breaking Book PDF

Author : Franco Strocchi
Publisher : Springer Nature
Page : 279 pages
File Size : 55,6 Mb
Release : 2021-01-27
Category : Science
ISBN : 9783662621660

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Symmetry Breaking by Franco Strocchi Pdf

The third edition of the by now classic reference on rigorous analysis of symmetry breaking in both classical and quantum field theories adds new topics of relevance, in particular the effect of dynamical Coulomb delocalization, by which boundary conditions give rise to volume effects and to energy/mass gap in the Goldstone spectrum (plasmon spectrum, Anderson superconductivity, Higgs phenomenon). The book closes with a discussion of the physical meaning of global and local gauge symmetries and their breaking, with attention to the effect of gauge group topology in QCD. From the reviews of the first edition: It is remarkable to see how much material can actually be presented in a rigorous way (incidentally, many of the results presented are due to Strocchi himself), yet this is largely ignored, the original heuristic derivations being, as a rule, more popular. - At each step he strongly emphasizes the physical meaning and motivation of the various notions introduced [...] a book that fills a conspicuous gap in the literature, and does it rather well. It could also be a good basis for a graduate course in mathematical physics. J.-P. Antoine, Physicalia 28/2, 2006 Despite many accounts in popular textbooks and a widespread belief, the phenomenon is rather subtle, requires an infinite set of degrees of freedom and an advanced mathematical setting of the system under investigation. [...] The mathematically oriented graduate student will certainly benefit from this thorough, rigorous and detailed investigation. G. Roepstorff, Zentralblatt MATH, Vol. 1075, 2006 From the reviews of the second edition: This second edition of Strocchi’s Symmetry Breaking presents a complete, generalized and highly rigorous discussion of the subject, based on a formal analysis of conditions necessary for the mechanism of spontaneous symmetry breaking to occur in classical systems, as well as in quantum systems. [...] This book is specifically recommended for mathematical physicists interested in a deeper and rigorous understanding of the subject, and it should be mandatory for researchers studying the mechanism of spontaneous symmetry breaking. S. Hajjawi, Mathematical Reviews, 2008

GROUP 24

J.P Gazeau,R Kerner,J.P Antoine,S Metens,J.Y Thibon
GROUP 24 Book PDF

Author : J.P Gazeau,R Kerner,J.P Antoine,S Metens,J.Y Thibon
Publisher : CRC Press
Page : 1004 pages
File Size : 40,7 Mb
Release : 2003-11-30
Category : Mathematics
ISBN : 0750309334

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GROUP 24 by J.P Gazeau,R Kerner,J.P Antoine,S Metens,J.Y Thibon Pdf

One of the most enduring elements in theoretical physics has been 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. Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. 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. 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 constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.

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 : 40,7 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

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 : 50,6 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.

Proceedings of the 3rd International Symposium, Quantum Theory and Symmetries

Philip C. Argyres
Proceedings of the 3rd International Symposium Quantum Theory and Symmetries Book PDF

Author : Philip C. Argyres
Publisher : World Scientific
Page : 803 pages
File Size : 43,6 Mb
Release : 2004
Category : Science
ISBN : 9789812702340

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Proceedings of the 3rd International Symposium, Quantum Theory and Symmetries by Philip C. Argyres 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: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."