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Group Theory In Physics: A Practitioner's Guide

Group Theory In Physics: A Practitioner's Guide PDF Author: Traubenberg M Rausch De
Publisher: World Scientific
ISBN: 9813273623
Category : Science
Languages : en
Pages : 760

Book Description
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 In Physics: A Practitioner's Guide

Group Theory In Physics: A Practitioner's Guide PDF Author: Traubenberg M Rausch De
Publisher: World Scientific
ISBN: 9813273623
Category : Science
Languages : en
Pages : 760

Book Description
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 in Physics

Group Theory in Physics PDF Author: M. Rausch De Traubenberg
Publisher:
ISBN: 9789813273610
Category :
Languages : en
Pages : 759

Book Description


Group Theory in Physics

Group Theory in Physics PDF Author: John F. Cornwell
Publisher: Academic Press
ISBN: 0080532667
Category : Science
Languages : en
Pages : 361

Book Description
This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in physics. The book provides anintroduction to and description of the most important basic ideas and the role that they play in physical problems. The clearly written text contains many pertinent examples that illustrate the topics, even for those with no background in group theory.This work presents important mathematical developments to theoretical physicists in a form that is easy to comprehend and appreciate. Finite groups, Lie groups, Lie algebras, semi-simple Lie algebras, crystallographic point groups and crystallographic space groups, electronic energy bands in solids, atomic physics, symmetry schemes for fundamental particles, and quantum mechanics are all covered in this compact new edition. Covers both group theory and the theory of Lie algebras Includes studies of solid state physics, atomic physics, and fundamental particle physics Contains a comprehensive index Provides extensive examples

Group Theory for Physicists

Group Theory for Physicists PDF Author: Pichai Ramadevi
Publisher: Cambridge University Press
ISBN: 1108429475
Category : Science
Languages : en
Pages : 175

Book Description
Covers two important aspects of group theory namely discrete groups and Lie groups.

From Spinors to Supersymmetry

From Spinors to Supersymmetry PDF Author: Herbi K. Dreiner
Publisher: Cambridge University Press
ISBN: 1009347535
Category : Science
Languages : en
Pages : 1031

Book Description
Supersymmetry is an extension of the successful Standard Model of particle physics; it relies on the principle that fermions and bosons are related by a symmetry, leading to an elegant predictive structure for quantum field theory. This textbook provides a comprehensive and pedagogical introduction to supersymmetry and spinor techniques in quantum field theory. By utilising the two-component spinor formalism for fermions, the authors provide many examples of practical calculations relevant for collider physics signatures, anomalies, and radiative corrections. They present in detail the component field and superspace formulations of supersymmetry and explore related concepts, including the theory of extended Higgs sectors, models of grand unification, and the origin of neutrino masses. Numerous exercises are provided at the end of each chapter. Aimed at graduate students and researchers, this volume provides a clear and unified treatment of theoretical concepts that are at the frontiers of high energy particle physics.

Group Theory For Physicists (Second Edition)

Group Theory For Physicists (Second Edition) PDF Author: Zhong-qi Ma
Publisher: World Scientific
ISBN: 9813277408
Category : Science
Languages : en
Pages : 656

Book Description
This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Calculation methods in the context of physics are emphasized. New materials drawn from the teaching and research experience of the author are included. The generalized Gel'fand's method is presented to calculate the matrices of irreducible representations of the simple Lie algebra and its Clebsch-Gordan coefficients. This book is for graduate students and young researchers in physics, especially theoretical physics. It is also for graduate students in theoretical chemistry.

Problems & Solutions in Group Theory for Physicists

Problems & Solutions in Group Theory for Physicists PDF Author: Zhong-Qi Ma
Publisher: World Scientific
ISBN: 9789812388339
Category : Science
Languages : en
Pages : 480

Book Description
This book is aimed at graduate students and young researchers in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory. This book is also suitable for some graduate students in theoretical chemistry.

Group Theory in a Nutshell for Physicists

Group Theory in a Nutshell for Physicists PDF Author: A. Zee
Publisher: Princeton University Press
ISBN: 0691162697
Category : Science
Languages : en
Pages : 632

Book Description
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)

Group Theory and Physics

Group Theory and Physics PDF Author: Shlomo Sternberg
Publisher: Cambridge University Press
ISBN: 9780521558853
Category : Mathematics
Languages : en
Pages : 456

Book Description
This textbook, based on courses taught at Harvard University, is an introduction to group theory and its application to physics. The physical applications are considered as the mathematical theory is developed so that the presentation is unusually cohesive and well-motivated. Many modern topics are dealt with, and there is much discussion of the group SU(n) and its representations. This is of great significance in elementary particle physics. Applications to solid state physics are also considered. This stimulating account will prove to be an essential resource for senior undergraduate students and their teachers.

Group Theory in Chemistry and Spectroscopy

Group Theory in Chemistry and Spectroscopy PDF Author: Boris S. Tsukerblat
Publisher: Courier Corporation
ISBN: 048645035X
Category : Science
Languages : en
Pages : 465

Book Description
This handbook on group theory is geared toward chemists and experimental physicists who use spectroscopy and require knowledge of the electronic structures of the materials they investigate. Accessible to undergraduate students, it takes an elementary approach to many of the key concepts. Rather than the deductive method common to books on mathematics and theoretical physics, the present volume introduces fundamental concepts with simple examples, relating them to specific chemical and physical problems. The text is centered on detailed analysis of examples. Since neither chemists nor spectroscopists require theorem proofs, very few appear here. Instead, the focus remains on the principal conclusions, their meaning, and their use. In keeping with the text's practical bias, the main results of group theory are presented in all sections as procedures, making possible their systematic and step-by-step-application. Each chapter contains problems that develop practical skill and provide a valuable supplement to the text.