Groups, Representations and Physics

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Illustrating the fascinating interplay between physics and mathematics, this book provides a solid grounding in the theory of groups, and particularly of group representations. The book will give the reader a firm grasp of the basics to enable further study as necessary.
The approach taken allows the physics student to recognise the power and elegance of the abstract, axiomatic method. However, the formal mathematical definitions and proofs are always illustrated by concrete examples, and chapters developing the formalism are closely followed by chapters dealing with the physical applications. Problems are given after each chapter, with worked solutions at the end of the book.
Intended for third year physics undergraduates specializing in theoretical physics but also of interest to mathematics undergraduates and first year postgraduates.
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Editorial Reviews

Aslib Book List
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 good value.
Australian Physicist
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.
New Scientist
most group theorists would be astonished by what happens to their pets when a physicists gets his 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.
A course text for third-year physics students with a solid mathematical background, but also useful as a first-year graduate text in solid state, atomic, or elementary particle physics. Assumes a reasonable acquaintance with quantum mechanics, and shifts at some point from wave mechanical formulation to Dirac notation, a brief account of which is appended. The 1990 edition corrected in 1994 has been expanded with a new chapter on the Cartan-Weyl-Dynkin approach to Lie algebras. The brief bibliography points out next more sophisticated treatments. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780852740309
  • Publisher: Taylor & Francis
  • Publication date: 1/1/1994
  • Edition description: Older Edition
  • Pages: 326
  • Product dimensions: 6.04 (w) x 9.15 (h) x 0.72 (d)

Table of Contents

Introduction. General properties of groups and mappings. Group representations. Physical applications. Continuous groups (SO(N)). Further applications. The SU(N) groups and particle physics. Representations of the Poincar^D' e groups. Gauge groups. Glossary of mathematical symbols. Problem solutions.
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