Synopses & Reviews
No longer do physicists regard group theory merely as providing a valuable tool for the elucidation of the symmetry aspects of physical problems. Recent developments, particularly in high-energy physics, have transformed its role so that it now occupies a crucial and central position.
Group Theory in Physics - An Introduction is an abridgement and revision of Volumes I and II of the author's previous three volume work Group Theory in Physics. It has been designed to provide a succinct introduction to the subject for advanced undergraduate and postgraduate students, and for others approaching the subject for the first time. It aims to present all the relevant important mathematical developments in a form that is easy for physicists to understand and appreciate.
The treatment starts with the basic concepts and is carried through to some of the most sifnificant developments in atomic physics, electronic energy bands in solids and the theory of elementary particles. No prior knowledge of group theory is assumed, and for convenience, various relevant algebraic concepts are summarized in appendices. The intention has been to concentrate on introducing and describing in detail the most important basic ideas and the role that they play in physical problems. Nevertheless, the mathematical coverage goes outside the strict confines of group theory itself, and includes a study of Lie algebras, which, though related to Lie groups, are often developed by mathematicians as a separate subject.
Review
ticians. I strongly recommend the bijective character of such an application between the two communities: I expect that this will suggest more and more constructive interactions. This is definitely a very good approach to group theory in physics."
--MATHEMATICAL REVIEWS, November 1998
Review
"....Very clearly written for theoretical physicists and, overall, very precise from the mathematical point of view, such a book is suitable for advanced undergraduate and postgraduate students, in particular. If you read the preface, you also immediately understand that the author has the solicitude "to try to overcome the communication barrier" between physicists and pure mathematicians. I strongly recommend the bijective character of such an application between the two communities: I expect that this will suggest more and more constructive interactions. This is definitely a very good approach to group theory in physics."
--MATHEMATICAL REVIEWS, November 1998
Synopsis
This book, an abridgment of Volumes I and II of the highly respected
Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in physics. The book provides anintroduction to and description of the most important basic ideas and the role that they play in physical problems. The clearly written text contains many pertinent examples that illustrate the topics, even for those with no background in group theory.
This work presents important mathematical developments to theoretical physicists in a form that is easy to comprehend and appreciate. Finite groups, Lie groups, Lie algebras, semi-simple Lie algebras, crystallographic point groups and crystallographic space groups, electronic energy bands in solids, atomic physics, symmetry schemes for fundamental particles, and quantum mechanics are all covered in this compact new edition.
Key Features
* Covers both group theory and the theory of Lie algebras
* Includes studies of solid state physics, atomic physics, and fundamental particle physics
* Contains a comprehensive index
* Provides extensive examples
Synopsis
Focusing on group theory and its applications in physics, this text provides an introduction to and description of the basic ideas and the role that they play in physical problems. Topics covered include finite groups, Lie groups, Lie algebras, and crystallographic point groups.
Synopsis
Lie groups, are often developed by mathematicians as a separate subject.
Synopsis
n introducing and describing in detail the most important basic ideas and the role that they play in physical problems. Nevertheless, the mathematical coverage goes outside the strict confines of group theory itself, and includes a study of Lie algebras, which, though related to Lie groups, are often developed by mathematicians as a separate subject.
Synopsis
concepts are summarized in appendices. The intention has been to concentrate on introducing and describing in detail the most important basic ideas and the role that they play in physical problems. Nevertheless, the mathematical coverage goes outside the strict confines of group theory itself, and includes a study of Lie algebras, which, though related to Lie groups, are often developed by mathematicians as a separate subject.
About the Author
J.F. Cornwell is a professor of theoretical physics at the University of Saint Andrews. He is a Fellow of the Royal Society of Edinburgh. Cornwell's research interestsin mathematical physics have extended from solid-state theory to fundamental particle physics, with group theory and its related mathematical developments providing a unifying theme.
University of Saint Andrews
Table of Contents
The Basic Framework. The Structure of Groups. Lie Groups. Representation of Groups--Principal Ideas. Representation of Groups--Developments. Group Theory in Quantum Mechanical Calculations. Crystallographic Space Groups. The Role of Lie Algebras. The Relationships Between Lie Groups and Lie Algebras Explored. The Three-Dimensional Rotation Groups. The Structure of Semi-Simple Lie Algebras. Representations of Semi-Simple Lie Algebras. Symmetry Schemes for the Elementary Particles. Appendices. References. Subject Index.