344 Pages
by
CRC Press
340 Pages
by
CRC Press
Also available as eBook on:
Illustrating the fascinating interplay between physics and mathematics, Groups, Representations and Physics, Second Edition provides a solid foundation in the theory of groups, particularly group representations. For this new, fully revised edition, the author has enhanced the book's usefulness and widened its appeal by adding a chapter on the Cartan-Dynkin treatment of Lie algebras. This... Read more
Introduction
General Properties of Groups and Mappings
Group Representations
Properties of Irreducible Representations
Physical Applications
Continuous Groups (SO(N))
Further Applications
The SU(N) Groups and Particle Physics
General Treatment of Simple Lie Groups
Representations of the Poincaré Groups
Gauge Groups
Appendix A: Dirac Notion in Quantum Mechanics
Appendix B: Eigenstates of Angular Momentum in Quantum Mechanics
Appendix C: Group-Invariant Measure for SO(3)
Appendix D: Calculation of Roots for SO(n) and Sp(2r)
Appendix E: Covariant Normalization and Relativistic Scattering
Appendix F: Lagrangian Mechanics
Glossary of Mathematical Symbols
Bibliography
Problem Solutions
Index
General Properties of Groups and Mappings
Group Representations
Properties of Irreducible Representations
Physical Applications
Continuous Groups (SO(N))
Further Applications
The SU(N) Groups and Particle Physics
General Treatment of Simple Lie Groups
Representations of the Poincaré Groups
Gauge Groups
Appendix A: Dirac Notion in Quantum Mechanics
Appendix B: Eigenstates of Angular Momentum in Quantum Mechanics
Appendix C: Group-Invariant Measure for SO(3)
Appendix D: Calculation of Roots for SO(n) and Sp(2r)
Appendix E: Covariant Normalization and Relativistic Scattering
Appendix F: Lagrangian Mechanics
Glossary of Mathematical Symbols
Bibliography
Problem Solutions
Index
Biography
H. F. Jones
"This work seems to cover virtually all the problems of physics for which group theory is helpful … strikes a good balance between mathematics and physical applications and should be valuable to researchers. It is well printed and produced and the paperback edition is a good value."
-Aslib Book List
"The author has admirably fulfilled his aims. The material is tightly packed and no phrase is wasted … I liked the succinct way in which the subject was developed in this new book. It provides a firm foundation for further reading, especially those parts which the author 'squashed down' in the interest of brevity, and is a welcome addition to my bookshelf."
-Australian Physicist
"Most group theorists would be astonished by what happens to their pets when physicists gets their hands on them, as in Groups, Representations and Physics by H.F. Jones. I'm not suggesting we teach quantum field theory to every algebraist, but they could learn an awful lot from the group-theoretic treatment of the vibrational modes of the water molecule."
-New Scientist
