Group Theory And Special Symmetries In Nuclear Physics - Proceedings Of The International Symposium

Group Theory And Special Symmetries In Nuclear Physics - Proceedings Of The International Symposium
Author: Joachim W Janecke
Publisher: World Scientific
Total Pages: 466
Release: 1992-06-16
Genre:
ISBN: 9814555843

Organized in honor of K T Hecht, Professor of Physics at the University of Michigan, for his frontier research in group theory and nuclear physics, this symposium features papers by principal researchers who have contributed to the development and use of algebraic methods in nuclear physics. The symposium aims to make a critical assessment of what has been accomplished since the seminal work of J P Elliott on the SU(3) model, and to identify significant challenges and opportunities that lie in the future. Topics include the SU(3) model and its noncompact Sp(3, R) extension, boson and fermion dynamical symmetry schemes, pseudo-spin and superdeformation, cluster model configurations and calculations, recent advances in vector coherent state theories, quark models for subnucleon degrees of freedom in nuclei, and more.

Group Theory in Subnuclear Physics

Group Theory in Subnuclear Physics
Author: Fl Stancu
Publisher: Oxford University Press on Demand
Total Pages: 421
Release: 1996
Genre: Mathematics
ISBN: 9780198517429

This book is a useful and accessible introduction to symmetry principles in particle physics. Concepts of group theory are clearly explained and their applications to subnuclear physics brought up to date. The book begins with introductions to both the types of symmetries known in physics and to group theory and representation theory. Successive chapters deal with the symmetric groups and their Young diagrams, braid groups, Lie groups and algebras, Cartan's classification of semi-simple groups, and the Lie groups most used in physics are treated in detail. Gauge groups are discussed, and applications to elementary particle physics and multiquark systems introduced throughout the book where appropriate. Many worked examples are also included. There is a growing interest in the quark structure of hadrons and in theories of particle interactions based on the principle of gauge symmetries. Students and researchers on theoretical physics will make great strides in their work with the ideas and applications found here.

Group Theory for the Standard Model of Particle Physics and Beyond

Group Theory for the Standard Model of Particle Physics and Beyond
Author: Ken J. Barnes
Publisher: CRC Press
Total Pages: 0
Release: 2010-03-10
Genre: Science
ISBN: 9781420078749

Based on the author’s well-established courses, Group Theory for the Standard Model of Particle Physics and Beyond explores the use of symmetries through descriptions of the techniques of Lie groups and Lie algebras. The text develops the models, theoretical framework, and mathematical tools to understand these symmetries. After linking symmetries with conservation laws, the book works through the mathematics of angular momentum and extends operators and functions of classical mechanics to quantum mechanics. It then covers the mathematical framework for special relativity and the internal symmetries of the standard model of elementary particle physics. In the chapter on Noether’s theorem, the author explains how Lagrangian formalism provides a natural framework for the quantum mechanical interpretation of symmetry principles. He then examines electromagnetic, weak, and strong interactions; spontaneous symmetry breaking; the elusive Higgs boson; and supersymmetry. He also introduces new techniques based on extending space–time into dimensions described by anticommuting coordinates. Designed for graduate and advanced undergraduate students in physics, this text provides succinct yet complete coverage of the group theory of the symmetries of the standard model of elementary particle physics. It will help students understand current knowledge about the standard model as well as the physics that potentially lies beyond the standard model.

Group Theory in a Nutshell for Physicists

Group Theory in a Nutshell for Physicists
Author: A. Zee
Publisher: Princeton University Press
Total Pages: 632
Release: 2016-03-29
Genre: Science
ISBN: 1400881188

A concise, modern textbook on group theory written especially for physicists Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)

Symmetries and Group Theory in Particle Physics

Symmetries and Group Theory in Particle Physics
Author: Giovanni Costa
Publisher: Springer
Total Pages: 300
Release: 2012-02-03
Genre: Science
ISBN: 3642154824

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

Group Theory
Author: Mildred S. Dresselhaus
Publisher: Springer Science & Business Media
Total Pages: 576
Release: 2007-12-18
Genre: Science
ISBN: 3540328998

This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.

Symmetries in Atomic Nuclei

Symmetries in Atomic Nuclei
Author: Alejandro Frank
Publisher: Springer Nature
Total Pages: 220
Release: 2019-08-28
Genre: Science
ISBN: 3030219313

The revised edition of this established work presents an extended overview of recent applications of symmetry to the description of atomic nuclei, including a pedagogical introduction to symmetry concepts using simple examples. Following a historical overview of the applications of symmetry in nuclear physics, attention turns to more recent progress in the field. Special emphasis is placed on the introduction of neutron-proton and boson-fermion degrees of freedom. Their combination leads to a supersymmetric description of pairs and quartets of nuclei. Expanded and updated throughout, the book now features separate chapters on the nuclear shell model and the interacting boson model, the former including discussion of recent results on seniority in a single-j shell. Both theoretical aspects and experimental signatures of dynamical (super)symmetries are carefully discussed. This book focuses on nuclear structure physics, but its broad scope makes it suitable for final-year or post-graduate students and researchers interested in understanding the power and beauty of symmetry methods in physics. Review of the 1st Edition: "The subject of this book, symmetries in physical systems, with particular focus on atomic nuclei, is of the utmost importance in modern physical science. In contrast to most treatments, frequently characterized by fearsome formalism, this book leads the reader step-by-step, in an easily understandable way, through this fascinating field...this book is remarkably accessible to both theorists and experimentalists. Indeed, I view it as essential reading for experimental nuclear structure physicists. This is one of the finest volumes on this subject I have ever encountered." Prof. R.F. Casten, Yale University

Nuclear Physics

Nuclear Physics
Author: National Research Council
Publisher: National Academies Press
Total Pages: 222
Release: 1999-03-31
Genre: Science
ISBN: 0309173663

Dramatic progress has been made in all branches of physics since the National Research Council's 1986 decadal survey of the field. The Physics in a New Era series explores these advances and looks ahead to future goals. The series includes assessments of the major subfields and reports on several smaller subfields, and preparation has begun on an overview volume on the unity of physics, its relationships to other fields, and its contributions to national needs. Nuclear Physics is the latest volume of the series. The book describes current activity in understanding nuclear structure and symmetries, the behavior of matter at extreme densities, the role of nuclear physics in astrophysics and cosmology, and the instrumentation and facilities used by the field. It makes recommendations on the resources needed for experimental and theoretical advances in the coming decade.

Physics from Symmetry

Physics from Symmetry
Author: Jakob Schwichtenberg
Publisher: Springer
Total Pages: 294
Release: 2017-12-01
Genre: Science
ISBN: 3319666312

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.

Group Theory in Physics

Group Theory in Physics
Author: Wu-Ki Tung
Publisher: World Scientific Publishing Company
Total Pages: 336
Release: 1985-08-31
Genre: Representations of groups
ISBN: 981310404X

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