Description 
1 online resource (xiii, 291 pages) : illustrations 
Series 
Lecture notes in physics, 16166361 ; v. 823 

Lecture notes in physics ; 823. 00758450

Contents 
Introduction to Lie Groups and their Representations  The Rotation Group  The Homogeneous Lorentz Group  The Poincare Transformation  One Particle and Two Particle States  Discrete Operations  Relativistic Equations  Unitary Symmetries  Gauge Symmetries  Rotation Matrices and ClebschGordan Coeficients  Symmetric Goups and Identical Particles  Young Tableaux and Irreducible Representations ot he Unitary Groups  Solutions  Index 
Summary 
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 spacetime 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 nonspecialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous endofchapter problems and their solutions will facilitate the use of this book as selfstudy guide or as course book for topical lectures 
Analysis 
Physics 

Mathematical physics 

Quantum theory 

Elementary Particles, Quantum Field Theory 

Classical and Quantum Gravitation, Relativity Theory 

Mathematical Methods in Physics 
Bibliography 
Includes bibliographical references and index 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed March 21, 2014) 
Subject 
Particles (Nuclear physics)

Form 
Electronic book

Author 
Fogli, Gianluigi.

LC no. 
2011945259 
ISBN 
9783642154829 (electronic bk.) 

3642154824 (electronic bk.) 

3642154816 

9783642154812 
