Group theory in subnuclear physics
著者
書誌事項
Group theory in subnuclear physics
（Oxford studies in nuclear physics, 19）
Clarendon Press, 1996
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注記
Includes bibliographical references (p. [413]-417) and index
内容説明・目次
内容説明
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 of symmetries 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 in detail. 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 interactions based 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.
目次
- 1. 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
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