While Tung’s book covers the fundamentals of space-time and rotational symmetries, it lays the groundwork for advanced topics in modern theoretical physics:
First published in 1985 by World Scientific, "Group Theory in Physics" has been reprinted multiple times, including a 2011 edition, a testament to its lasting value. The book's description clearly states its mission: an introductory textbook for graduates and advanced undergraduates on group representation theory, emphasizing the role of group theory as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems.
To understand the value of Tung's work, one must first appreciate why group theory is the bedrock of modern physical laws.
While many books focus heavily on point groups for crystallography, Tung emphasizes the continuous space-time symmetries fundamental to relativistic quantum mechanics and quantum field theory. Wu-ki Tung Group Theory In Physics Pdf
Accessing the book can be done through several avenues, each with important considerations. It is crucial to be aware of the copyright status. The book is copyrighted by World Scientific (© 1985), and sharing or downloading unauthorized copies is copyright infringement.
Representation theory forms the backbone of the book. Tung explains how group elements can be represented as matrices acting on a Hilbert space. Key concepts include: Schur’s Lemmas Orthogonality relations
Every mathematical derivation is immediately contextualized with quantum states, Hilbert spaces, and operators. While Tung’s book covers the fundamentals of space-time
Young tableaux (SU(3)): Boxes arranged in rows; irreps correspond to (p,q) Dynkin labels where p = # boxes in first row minus second, q = # boxes in second row minus third; dimension formula: dim(p,q) = (1/2)(p+1)(q+1)(p+q+2).
If your department library owns a physical copy, students are often permitted under "fair use" guidelines to scan specific chapters or sections into a PDF format for personal study.
The book methodically builds from basic concepts to advanced applications in modern theoretical physics: Fundamental Group Theory While many books focus heavily on point groups
For anyone diving into the mathematical foundations of modern physics, the name is synonymous with clarity and rigor. His seminal textbook, Group Theory in Physics , has become a staple for graduate students and researchers alike.
Group Theory in Physics by Wu-Ki Tung is widely regarded by reviewers from Amazon and academic communities like Physics StackExchange as a definitive bridge between introductory and advanced mathematical physics.