Wu-Ki Tung was not just a mathematician; he was a particle physicist. This distinction is crucial. Many group theory textbooks spend hundreds of pages on finite groups, molecular symmetries (useful for chemists), or crystallography. Tung, however, cuts straight to the chase:
: Reviewers frequently note that it sits perfectly between ultra-abstract math books and overly simplified chemistry point-group books. 🗺️ Core Topics Covered
– Tensors and the Wigner-Eckart theorem. Ch 5: Symmetric Groups – Permutations and Young Tableaux.
: The mathematical backbone behind calculating quantum transition rates and selection rules. Wu-ki Tung Group Theory In Physics Pdf
Most physics students first encounter group theory via an appendix in a quantum mechanics book (covering SU(2) and SO(3)). They then jump to a specialized text. Tung's book bridges the gap. Here is what makes it exceptional:
The group governing physical rotations in our three-dimensional world.
What is your (e.g., undergraduate, graduate, independent researcher)? Wu-Ki Tung was not just a mathematician; he
Group theory allows physicists to classify particles based on their quantum numbers, allowing for the prediction of new particles. Angular Momentum: The theory of
The text is available for legal digital purchase or rental on major academic textbook platforms.
" by , originally published by World Scientific in 1985. It is widely regarded as a methodical resource that bridges the gap between introductory symmetry concepts and the advanced group theory required for high-energy and quantum physics. Accessing the Full Text Tung, however, cuts straight to the chase: :
Crucial mathematical theorems that simplify matrix representations.
For physicists, the real world is governed by spacetime symmetries. Tung dedicates significant space to: The mathematics of angular momentum and spin.
: In-depth coverage of one-dimensional continuous groups, the rotation groups , and their irreducible representations. Discrete and Symmetric Groups : Detailed treatment of the Symmetric Groups (Sn) using Young diagrams and partitions. Physics of Space-Time : Advanced topics such as the Lorentz and Poincaré groups , space inversion, and time reversal invariance. Essential Theorems : Comprehensive derivations of the Wigner-Eckart Theorem , Clebsch-Gordan coefficients, and Wigner's classification. World Scientific Publishing Distinguishing Features Physicist's Perspective