Group Theory in Subnuclear Physics by Fl Stancu

Group Theory in Subnuclear Physics

byFl Stancu

Hardcover | July 1, 1989

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This book is a useful and accessible introduction to symmetry principles in particle physics. New ideas are explained in a way that throws considerable light on difficult concepts, such as Lie groups and their representations. This book begins with introdutions both to the types ofsymmetries 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 indetail. 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 interestinthe quatk structure of hadrons and in theories of particle interactionsbased on the principle of gauge symmetries. In this book the concepts of group theory are clearly explained and their applications to subnuclear physics brought up-to-date.

About The Author

Fl Stancu is at University of Liege.

Details & Specs

Title:Group Theory in Subnuclear PhysicsFormat:HardcoverDimensions:434 pages, 9.21 × 6.14 × 1.1 inPublished:July 1, 1989Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198517424

ISBN - 13:9780198517429

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Table of Contents

1. Symmetries in quantum mechanics2. Elements of group theory3. Linear representations of a group4. Permutation group Sn5. Lie groups6. The orthogonal group7. The Poincare group and the Lorenz group8. Unitary groups9. Gauge groups10. Multiquark systemsAppendix A: Conservation LawsAppendix B: The rearrangement theorem, Schur's lemmas and the orthogonality theoremAppendix C: Invariant IntegrationAppendix D: Dimension of an SU(n) irrep

Editorial Reviews

`The book may be treated as a modern "practical introduction to concepts of group theory and some of their applications, especially in subnuclear physics"......In the text, the general statements and investigations are illustrated by many concrete examples given, as a rule, in explicitexpanded mathematical form. A large number of tables (about 50) most of which are original forms an essential part of the book.'Zeitschrift fur Mathematik