Description
Book SynopsisThe book, which has grown out of a course given over the past ten years, provides an introduction to group theory and its application in subnuclear physics, particularly in multi-quark systems and hadron spectroscopy. A number of exercises, with solutions, are included.
Trade ReviewThe 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 explicit expanded mathematical form. A large number of tables (about 50) most of which are original forms an essential part of the book. * Zeitschrift fur Mathematik *
Table of Contents1. Symmetries in quantum mechanics ; 2. Elements of group theory ; 3. Linear representations of a group ; 4. Permutation group Sn ; 5. Lie groups ; 6. The orthogonal group ; 7. The Poincare group and the Lorenz group ; 8. Unitary groups ; 9. Gauge groups ; 10. Multiquark systems ; Appendix A: Conservation Laws ; Appendix B: The rearrangement theorem, Schur's lemmas and the orthogonality theorem ; Appendix C: Invariant Integration ; Appendix D: Dimension of an SU(n) irrep