Symmetries And Groups In Contemporary Physics

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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 : 40,7 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.)

Symmetries and Groups in Contemporary Physics

Chengming Bai
Symmetries and Groups in Contemporary Physics Book PDF

Author : Chengming Bai
Publisher : World Scientific
Page : 665 pages
File Size : 51,7 Mb
Release : 2013
Category : Mathematics
ISBN : 9789814518550

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Symmetries and Groups in Contemporary Physics by Chengming Bai 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.

Symmetry, Broken Symmetry, and Topology in Modern Physics

Mike Guidry,Yang Sun
Symmetry Broken Symmetry and Topology in Modern Physics Book PDF

Author : Mike Guidry,Yang Sun
Publisher : Cambridge University Press
Page : 665 pages
File Size : 46,5 Mb
Release : 2022-03-31
Category : Mathematics
ISBN : 9781316518618

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Symmetry, Broken Symmetry, and Topology in Modern Physics by Mike Guidry,Yang Sun Pdf

A pedagogical introduction to the modern applications of groups, algebras, and topology for undergraduate and graduate students in physics.

Symmetries and Group Theory in Particle Physics

Giovanni Costa,Gianluigi Fogli
Symmetries and Group Theory in Particle Physics Book PDF

Author : Giovanni Costa,Gianluigi Fogli
Publisher : Springer
Page : 291 pages
File Size : 43,6 Mb
Release : 2012-02-03
Category : Science
ISBN : 9783642154829

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Symmetries and Group Theory in Particle Physics by Giovanni Costa,Gianluigi Fogli Pdf

Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.

Group Theory in Quantum Mechanics

Volker Heine
Group Theory in Quantum Mechanics Book PDF

Author : Volker Heine
Publisher : Elsevier
Page : 479 pages
File Size : 48,7 Mb
Release : 2014-05-15
Category : Science
ISBN : 9781483152004

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Group Theory in Quantum Mechanics by Volker Heine Pdf

Group Theory in Quantum Mechanics: An Introduction to its Present Usage introduces the reader to the three main uses of group theory in quantum mechanics: to label energy levels and the corresponding eigenstates; to discuss qualitatively the splitting of energy levels as one starts from an approximate Hamiltonian and adds correction terms; and to aid in the evaluation of matrix elements of all kinds, and in particular to provide general selection rules for the non-zero ones. The theme is to show how all this is achieved by considering the symmetry properties of the Hamiltonian and the way in which these symmetries are reflected in the wave functions. This book is comprised of eight chapters and begins with an overview of the necessary mathematical concepts, including representations and vector spaces and their relevance to quantum mechanics. The uses of symmetry properties and mathematical expression of symmetry operations are also outlined, along with symmetry transformations of the Hamiltonian. The next chapter describes the three uses of group theory, with particular reference to the theory of atomic energy levels and transitions. The following chapters deal with the theory of free atoms and ions; representations of finite groups; the electronic structure and vibrations of molecules; solid state physics; and relativistic quantum mechanics. Nuclear physics is also discussed, with emphasis on the isotopic spin formalism, nuclear forces, and the reactions that arise when the nuclei take part in time-dependent processes. This monograph will be of interest to physicists and mathematicians.

Group Theory in Physics

Wu-Ki Tung
Group Theory in Physics Book PDF

Author : Wu-Ki Tung
Publisher : World Scientific Publishing Company
Page : 336 pages
File Size : 53,7 Mb
Release : 1985-08-31
Category : Representations of groups
ISBN : 9789813104044

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Group Theory in Physics by Wu-Ki Tung Pdf

An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems. Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry. Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained. A set of problems and solutions has been published in a separate booklet. Request Inspection Copy

Symmetries and Group Theory in Particle Physics

Giovanni Costa,Gianluigi Fogli
Symmetries and Group Theory in Particle Physics Book PDF

Author : Giovanni Costa,Gianluigi Fogli
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 42,7 Mb
Release : 2012-02-05
Category : Science
ISBN : 9783642154812

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Symmetries and Group Theory in Particle Physics by Giovanni Costa,Gianluigi Fogli Pdf

Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.

Group Theory In Physics: A Practitioner's Guide

Traubenberg M Rausch De,Strursberg R Campoamor
Group Theory In Physics A Practitioner s Guide Book PDF

Author : Traubenberg M Rausch De,Strursberg R Campoamor
Publisher : World Scientific
Page : 760 pages
File Size : 44,8 Mb
Release : 2018-09-19
Category : Science
ISBN : 9789813273627

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Group Theory In Physics: A Practitioner's Guide by Traubenberg M Rausch De,Strursberg R Campoamor Pdf

This book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples.The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.

Group Theory and Its Application to Physical Problems

Morton Hamermesh
Group Theory and Its Application to Physical Problems Book PDF

Author : Morton Hamermesh
Publisher : Courier Corporation
Page : 548 pages
File Size : 49,6 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486140391

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Group Theory and Its Application to Physical Problems by Morton Hamermesh Pdf

One of the best-written, most skillful expositions of group theory and its physical applications, directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. With problems.

Symmetries in Physics

Katherine Brading,Elena Castellani
Symmetries in Physics Book PDF

Author : Katherine Brading,Elena Castellani
Publisher : Cambridge University Press
Page : 459 pages
File Size : 44,7 Mb
Release : 2003-12-04
Category : Science
ISBN : 9781139442022

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Symmetries in Physics by Katherine Brading,Elena Castellani Pdf

This book brings together philosophical discussions of symmetry in physics, highlighting the main issues and controversies. It covers all the fundamental symmetries of modern physics, as well as discussing symmetry-breaking and general interpretational issues. For each topic, classic texts are followed by review articles and short commentaries.

The Theory of Groups and Quantum Mechanics

Hermann Weyl
The Theory of Groups and Quantum Mechanics Book PDF

Author : Hermann Weyl
Publisher : Courier Corporation
Page : 468 pages
File Size : 45,8 Mb
Release : 1950-01-01
Category : Mathematics
ISBN : 0486602699

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The Theory of Groups and Quantum Mechanics by Hermann Weyl Pdf

This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves — rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations.

Symmetry

R. McWeeny
Symmetry Book PDF

Author : R. McWeeny
Publisher : Elsevier
Page : 263 pages
File Size : 41,7 Mb
Release : 2013-09-03
Category : Mathematics
ISBN : 9781483226248

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Symmetry by R. McWeeny Pdf

Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.

Physics from Symmetry

Jakob Schwichtenberg
Physics from Symmetry Book PDF

Author : Jakob Schwichtenberg
Publisher : Springer
Page : 287 pages
File Size : 44,7 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 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 : 54,5 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

Theory Of Groups And Symmetries: Finite Groups, Lie Groups, And Lie Algebras

Rubakov Valery A,Isaev Alexey P
Theory Of Groups And Symmetries Finite Groups Lie Groups And Lie Algebras Book PDF

Author : Rubakov Valery A,Isaev Alexey P
Publisher : World Scientific
Page : 476 pages
File Size : 48,5 Mb
Release : 2018-03-21
Category : Science
ISBN : 9789813236875

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Theory Of Groups And Symmetries: Finite Groups, Lie Groups, And Lie Algebras by Rubakov Valery A,Isaev Alexey P Pdf

The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence. The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles — the Standard Model — is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics. Contents: Preface Groups and Transformations Lie Groups Lie Algebras Representations of Groups and Lie Algebras Compact Lie Algebras Root Systems and Classification of Simple Lie Algebras Homogeneous Spaces and their Geometry Solutions to Selected Problems Selected Bibliography References Index Readership: Graduate students and researchers in theoretical physics and mathematical physics. Keywords: Lie Groups;Lie Algebras;Representation Theory;Conformal Symmetries;Yangians;Coset Spaces;Differential Geometry;Casimir Operators;Root Systems;AdS Spaces;Lobachevskian GeometryReview:0