Assuming you obtain the book (legally, we hope), here is a roadmap to mastering its contents:
Clebsch–Gordan decomposition (example): For two spin-1/2: 1/2 ⊗ 1/2 = 1 ⊕ 0 (triplet + singlet). Triplet symmetric, singlet antisymmetric. Wu-ki Tung Group Theory In Physics Pdf
The text is available for legal digital purchase or rental on major academic textbook platforms. Assuming you obtain the book (legally, we hope),
Week 1: Linear algebra review, groups vs algebras, SU(2) basics, angular momentum examples. Week 2: Representation theory, characters, CG coefficients, practice decompositions. Week 3: SU(3), Young tableaux, weight diagrams, particle multiplets. Week 4: Tensor methods, Wigner–Eckart, worked problems, summary and further reading. Week 1: Linear algebra review, groups vs algebras,
Dr. Tung held faculty positions at the University of Chicago, the Illinois Institute of Technology (IIT, where he also served as Department Chair), and later as Professor Emeritus at Michigan State University. His research was primarily focused on the intricacies of high-energy particle physics, with a specialty in , the theory of the strong nuclear force. He is perhaps best known for pioneering the Coordinated Theoretical-Experimental Project on QCD (CTEQ) , a multi-decade, global analysis effort that remains a cornerstone for extracting parton distribution functions from experimental data. A Fellow of the American Physical Society, he passed away in 2009, leaving behind a legacy of groundbreaking research and exceptional pedagogy.
The true brilliance of "Group Theory in Physics" lies in its second half, where the abstract mathematics yields profound physical insights. Quantum Mechanics and Angular Momentum
Reading a textbook on group theory passively is rarely effective. To truly absorb the material in Wu-Ki Tung's text, consider the following strategy: