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Book Cover
Author Costa, G. (Giovanni), 1930-

Title Symmetries and group theory in particle physics : an introduction to space-time and internal symmetries / Giovanni Costa, Gianluigi Fogli
Published Berlin ; New York : Springer, [2012]
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Description 1 online resource (xiii, 291 pages) : illustrations
Series Lecture notes in physics, 1616-6361 ; v. 823
Lecture notes in physics ; 823. 0075-8450
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 Clebsch-Gordan 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 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
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.)