Title: Looking for / Sharing: Group Theory in Physics – Wu-Ki Tung (PDF)
Post:
Hi everyone,
I'm currently studying the applications of group theory in quantum mechanics and particle physics, and one text that keeps coming up as a classic is "Group Theory in Physics" by Wu-Ki Tung (World Scientific, 1985).
Unlike many pure math treatments, Tung's book is highly regarded for its physics-first approach — covering finite groups, Lie groups, and their representations with clear connections to angular momentum, particle classification, and scattering theory. It sits nicely between the rigor of Hamermesh and the more applied style of Georgi.
If anyone has a PDF copy they're willing to share, I'd greatly appreciate it. Alternatively, if you've worked through this book, I'd love to hear:
Happy to exchange notes or problem solutions with others currently going through the text.
Thanks in advance!
Optional hashtags (for social media or forums like Reddit, Twitter, or Physics Forums):
#GroupTheory #WuKiTung #MathematicalPhysics #QuantumMechanics #PDFRequest
While finding a free PDF of a copyrighted textbook like Wu-Ki Tung’s Group Theory in Physics can be tricky due to licensing, understanding why this specific text remains the "gold standard" for physicists is essential for anyone diving into the field.
Here is a comprehensive look at the impact, structure, and enduring relevance of this seminal work.
The Physicist’s Mathematical Compass: A Review of Wu-Ki Tung’s Group Theory in Physics
In the landscape of theoretical physics, group theory isn’t just a mathematical tool—it is the language of symmetry. From the crystalline structures of solid-state physics to the fundamental particles of the Standard Model, symmetry dictates the laws of nature. Among the many texts written on the subject, Wu-Ki Tung’s Group Theory in Physics stands as a definitive bridge between abstract mathematics and physical reality. Why Wu-Ki Tung’s Approach is Different
Many mathematics textbooks approach group theory through rigorous proofs and definitions that can feel detached from physical application. Conversely, some physics texts gloss over the mathematical foundations, leaving students with "recipe-book" knowledge.
Tung strikes a perfect balance. He introduces the concepts of groups, representations, and algebras with enough rigor to satisfy the mathematically inclined, but always keeps the physical context—such as quantum mechanics and relativity—front and center. Core Pillars of the Book
The book is structured to take a student from the basics of discrete groups to the complexities of continuous Lie groups. Key areas covered include: Basic Concepts: Defining groups, subgroups, and classes.
Representations: This is the heart of the book. Tung explains how group elements act on vector spaces, which is crucial for understanding quantum states.
The Rotation Group (SO(3)): An essential deep dive for anyone studying angular momentum in quantum mechanics.
The Lorentz and Poincaré Groups: Providing the mathematical backbone for special relativity and field theory.
Lie Algebras: Transitioning from global symmetries to local generators, a prerequisite for modern particle physics. The "PDF" Quest: Accessibility vs. Academic Integrity Wu-ki Tung Group Theory In Physics Pdf
Many students search for "Wu-Ki Tung Group Theory in Physics PDF" because of the book's reputation as a "must-have" reference. While various digital archives and university repositories sometimes host chapters for educational purposes, the book is a published work by World Scientific. For those looking for legitimate digital access:
University Libraries: Most academic institutions provide free digital access to the full text through platforms like Ebook Central or ProQuest.
Google Books/Publisher Previews: Often provide enough of a "look inside" to reference specific tables or theorems.
Open-Source Alternatives: While Tung is unique, students often supplement their reading with open-source notes from MIT OpenCourseWare or similar platforms. Why It Remains Relevant in 2024 and Beyond
Even decades after its initial publication, Tung’s work is cited in contemporary research. Whether you are a graduate student struggling with Wigner-Eckart theorem applications or a researcher needing to refresh your knowledge on SU(n) symmetries, the text’s clarity and logical progression remain unmatched.
It doesn’t just teach you what a group is; it teaches you how to think in symmetries. To help you get exactly what you need for your studies:
Check your library login for a legitimate full-text PDF download.
Search for "Wu-Ki Tung Solutions" to find community-driven guides for the book's notoriously challenging problems.
Look for "Lecture Notes on Group Theory" by professors like Robert Littlejohn if you need a modern, free companion piece.
If you'd like, I can summarize a specific chapter (like the Lorentz Group or SU(2)) or help you work through a particular problem from the text.
A classic text in the field!
"Group Theory in Physics" by Wu-Ki Tung is indeed a useful and well-known textbook in the realm of group theory and its applications in physics. Here's a brief overview:
Book details:
Content:
The book provides a comprehensive introduction to group theory and its applications in physics, covering both the mathematical foundations and the physical implications. The text is divided into three parts:
Useful aspects:
The text is known for its:
Pdf availability:
As for the PDF version, I couldn't find a legitimate, freely available copy of the book. However, you may be able to access the book through:
Please respect the copyright and licensing terms when accessing the book. Title: Looking for / Sharing: Group Theory in
Group Theory in Physics by Wu-Ki Tung is a cornerstone textbook first published in 1985 by World Scientific. It is widely regarded as an essential bridge between introductory concepts and advanced theoretical physics, particularly in high-energy and particle physics. Core Pedagogical Approach
Unlike many mathematical texts that proceed from general definitions to specific cases, Tung’s approach is intuition-driven:
Intuition to Generalization: Concepts like isomorphisms are often introduced before homomorphisms because they are easier to visualize.
Clarity Over Rigor: The main text prioritizes the physical consequences and applications of theorems, while the more rigorous mathematical proofs are often deferred to detailed appendices to keep the book self-contained.
Detailed Intermediate Steps: The book is praised for keeping intermediate steps visible, making it highly suitable for self-study. Key Topics and Structure
The book spans 13 chapters and several technical appendices, covering both discrete and continuous groups: Group Theory in Physics 9971966565, 9971966573
Group Theory in Physics Wu-Ki Tung is a foundational graduate-level textbook that bridges abstract group representation theory with practical applications in classical and quantum mechanics. First published in 1985 by World Scientific
, it is celebrated for its pedagogical clarity, often presenting concepts from intuition to generalisation rather than just formal definitions. Physics Stack Exchange Core Content and Structure
The book is structured to guide students from basic definitions to advanced space-time symmetries. Key chapters include: Basic Group Theory and Representations
: Definitions, subgroups, and the general properties of irreducible vectors and operators. Continuous Groups
: 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
: Unlike purely mathematical texts, Tung focuses on group theory as a "springboard" for physical systems, keeping intermediate steps visible for self-study. Self-Contained
: Includes extensive appendices covering linear vector spaces, group algebra, and spinors to ensure students have the necessary mathematical background. Rigour with Pedagogy
: Important theorems are named rather than just numbered, and proofs are often deferred until after their physical significance is discussed. Availability and Resources
While the physical book is available for purchase at retailers like Amazon India
(approx. ₹1,500 for paperback), various digital formats exist for academic use: Group Theory in Physics - World Scientific Publishing
I understand you're looking for a paper or PDF resource on Wu-Ki Tung’s Group Theory in Physics. However, I cannot directly provide or upload PDF files due to copyright restrictions. Instead, I can offer you a structured summary, key insights from the book, and legitimate ways to access the PDF.
If you are a graduate student in physics, specifically in High Energy Physics (HEP) or Quantum Field Theory, you have likely encountered the "Group Theory Barrier." It is that moment when the intuition of quantum mechanics meets the abstract rigor of mathematics.
While there are many textbooks on the subject—ranging from the purely mathematical (Hamermesh) to the application-heavy (Greiner)—one name consistently comes up in conversations among particle physicists: Wu-Ki Tung.
His book, Group Theory in Physics, is widely regarded as the "bible" for anyone needing to understand the Symmetry Principles that govern the Standard Model. How it compares to Tinkham or Cornwell for
If you write a paper referencing it:
W.-K. Tung, Group Theory in Physics (World Scientific, Singapore, 1985).
Group Theory in Physics Wu-Ki Tung is a foundational graduate-level textbook originally published in 1985
. It serves as a comprehensive introduction to the mathematical framework of symmetry, which is essential for understanding both classical and quantum mechanical systems. Core Themes and Approach
Tung’s work is highly regarded for its pedagogical clarity, prioritizing the presentation of main ideas and physical consequences over exhaustive mathematical rigor. dokumen.pub Physicist's Perspective
: Unlike purely mathematical texts, Tung focuses on the "physicist's approach," often showing intermediate steps in detail to make complex topics like Young diagrams less mysterious. Self-Contained Structure
: While rigorous, the book includes technical information in appendices to remain self-contained for students who may not have a deep background in abstract algebra. Key Topics Covered
The book methodically builds from basic concepts to advanced applications in modern theoretical physics: Fundamental Group Theory
: Basic definitions, group representations, and general properties of irreducible vectors and operators. Symmetry Groups : Detailed exploration of discrete groups (symmetric groups cap S sub n ) and continuous groups. Rotational and Space-Time Symmetries : In-depth coverage of the rotation groups , as well as the Lorentz and Poincaré groups Invariance Principles : Critical chapters on space inversion and time reversal invariance
, including their physical consequences for angular momentum and transition amplitudes. Special Functions
: The text uniquely integrates the study of special functions as they arise naturally from group representation theory. Google Books Significance in Physics Education
Tung’s textbook bridges the gap between introductory material and the advanced knowledge often assumed in modern field theory. Kevin Zhou Group Theory in Physics 9971966565, 9971966573
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:
Assuming you obtain the book (legally, we hope), here is a roadmap to mastering its contents:
Month 1: Work through Chapters 1–4 (Finite groups and basic representation theory). Do all the problems involving S_3 and S_4. Master the character table method.
Month 2: Chapters 5–7 (Lie algebras, SU(2), SU(3)). Derive the angular momentum algebra from scratch. Draw the SU(3) root diagram by hand. Compute the quark model wavefunctions.
Month 3: Chapters 8–9 (Lorentz group). This is the hardest part. Spend two weeks just understanding the difference between SO(3,1) and SL(2,C). Do the spinor algebra until it becomes intuitive.
Month 4: Chapters 10–12 (Gauge theories). Here, the book connects to quantum field theory. If you are not yet studying QFT, you can pause. But for particle physicists, this is the payoff.
Pro tip: Watch YouTube lectures on group theory for physics alongside reading Tung. Channels like "Tobias Osborne", "XylyXylyX", or "Institute for Advanced Study" video series can demystify the abstract passages.