Groups, Representations And Physics / Edition 2

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $39.95
Usually ships in 1-2 business days
(Save 44%)
Other sellers (Paperback)
  • All (12) from $39.95   
  • New (9) from $56.35   
  • Used (3) from $39.95   


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 treatment, a generalization of the method of raising and lowering operators used for the rotation group, leads to a systematic classification of Lie algebras and enables one to enumerate and construct their irreducible representations. Taking an approach that allows physics students to recognize the power and elegance of the abstract, axiomatic method, the book focuses on chapters that develop the formalism, followed by chapters that deal with the physical applications. It also illustrates formal mathematical definitions and proofs with numerous concrete examples.

Read More Show Less

Editorial Reviews

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.
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.
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.
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.
Read More Show Less

Product Details

  • ISBN-13: 9780750305044
  • Publisher: Taylor & Francis
  • Publication date: 9/5/2000
  • Edition description: New Edition
  • Edition number: 2
  • Pages: 340
  • Product dimensions: 6.10 (w) x 9.10 (h) x 0.90 (d)

Table of Contents


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
Problem Solutions

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)