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Sergi Villalta Reig
Sergi Villalta Reig

Group Theory In Physics Wuki Tung Pdf 11


Group Theory in Physics by Wu-Ki Tung: A Review




Group theory is a branch of mathematics that studies the properties and symmetries of abstract structures called groups. It has many applications in physics, especially in quantum mechanics, where it can be used to classify and analyze physical systems with respect to their symmetries. Group theory can also help to simplify calculations and reveal hidden connections between seemingly different phenomena.


One of the most popular and comprehensive textbooks on group theory in physics is Group Theory in Physics by Wu-Ki Tung , published by World Scientific in 1985. This book is an introductory text for graduates and advanced undergraduates, covering both the basic concepts and techniques of group theory, as well as its applications to various topics in physics, such as rotations, Lorentz transformations, space-time symmetries, crystallography, molecular vibrations, and elementary particles.


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The book consists of 27 chapters, divided into three parts. The first part introduces the basic group theory, including definitions, examples, representations, character tables, and group algebras. The second part discusses the continuous groups that are relevant to physics, such as the rotation group SO(3), the special unitary group SU(2), the Euclidean groups E(2) and E(3), the Lorentz group SO(3,1), and the Poincaré group. The third part explores some advanced topics and applications of group theory, such as space inversion, time reversal, finite-dimensional representations of Lie algebras, rotational and Lorentz spinors, unitary representations of the Poincaré group, and symmetry breaking.


The book is written in a clear and rigorous style, with many examples and exercises to illustrate the main ideas and results. The author emphasizes the general features and methods that demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry. The book also contains many appendices that provide additional technical information and proofs to make the book almost self-contained. A separate booklet contains a set of problems and solutions for each chapter.


The book is suitable for students who have some background in linear algebra and quantum mechanics, but do not require any prior knowledge of group theory. It can be used as a textbook for a one-semester or two-semester course on group theory in physics, or as a reference book for researchers who want to learn more about this subject. The book is widely praised by reviewers and readers for its clarity, comprehensiveness, and pedagogical value.


A PDF version of the book can be downloaded for free from the Internet Archive. However, readers are encouraged to buy the original hardcover or paperback edition from World Scientific or other online bookstores to support the author and publisher.




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