Degeneracy of energy levels, selection rules for atomic transitions. Crystal field splitting, Brillouin zones, and space groups. Particle Physics Isospin, the Eightfold Way ( flavor), and gauge symmetries ( Relativity & Cosmology
Exploring the continuous symmetries that define modern particle physics.
: It assumes only a solid foundation in linear algebra and basic quantum mechanics. Wu-ki Tung Group Theory In Physics Pdf
Wu-Ki Tung strikes a perfect balance. He introduces mathematical concepts with necessary rigor but immediately grounds them in physical reality. The book is specifically designed to graduate students and advanced undergraduates transitioning into theoretical high-energy physics, solid-state physics, and advanced quantum mechanics. Key Mathematical Foundations Covered
Unlike many competing texts that focus solely on SU(N), Tung dives deeply into the Lorentz group (SO(3,1)) and its covering group SL(2,C). He explains two-component spinors and four-component Dirac spinors from a group-theoretic origin, showing exactly how the Dirac equation emerges from the representation theory of the Lorentz group. Degeneracy of energy levels, selection rules for atomic
for the Quark Model (flavour symmetry) and Quantum Chromodynamics (color symmetry).
A foundational concept for analyzing group representations and symmetry operations. 2. Representation Theory : It assumes only a solid foundation in
A: Group theory in physics is classical material. The Lie groups SU(3), SU(5), SO(10) have not changed. The only missing parts are modern topics like the representation theory of supersymmetry or the conformal group, but for the Standard Model and general relativity, Tung is timeless.
, readers gain a deep geometric understanding of electron spin. 5. The Lorentz and Poincaré Groups
The book opens with the basic definitions of groups, subgroups, cosets, and conjugate classes. It then transitions into vector spaces, inner products, and linear operators, setting up the framework for physical states. 2. Group Representation Theory This is the core of the book. Tung covers: Schur’s Lemmas Orthogonality relations Character tables