Group Theory in Physics: An Introduction (Volume 1) by John F. Cornwell, ISBN-13: 978-0121898007

Group Theory in Physics: An Introduction (Volume 1) by John F. Cornwell, ISBN-13: 978-0121898007

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• Publisher: ‎ Academic Press; Abridged edition (August 7, 1997)
• Language: ‎ English
• 349 pages
• ISBN-10: ‎ 0121898008
• ISBN-13: ‎ 978-0121898007

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 an introduction 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.

The treatment starts with the basic concepts and is carried through to some of the most significant 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.

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.

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