Group theory and quantum mechanics. Front Cover. Michael Tinkham Tinkham is Rumford Professor of Physics, and Gordon McKay Professor of Applied. Tinkham, Group Theory and Quantum Mechanics. Dresselhaus, Dresselhaus, Jorio, Group Theory: Applications to the Physics of Condensed Matter. Ramond. Group Theory and Quantum Mechanics has 24 ratings and 2 reviews. Michael said: This book is a great read in that Tinkham develops the parts of group theo.
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This graduate-level text develops the aspects of group theory most relevant to physics and chemistry such as the theory of representations and illustrates their applications to quantum mechanics.
The first five chapters focus chiefly on the introduction of methods, illustrated by physical examples, and the final three chapters offer a systematic treatment of the quantum theory of atoms, molecules, and solids. The formal theory michal finite groups and their representation is developed in Chapters tinkhzm through 4 tinnkham illustrated by examples from the crystallographic point groups basic to solid-state and molecular theory.
Chapter 5 is devoted to the theory of systems with full rotational symmetry, Chapter 6 to the systematic presentation of atomic structure, and Chapter 7 to molecular quantum mechanics. Chapter 8, which deals with solid-state physics, treats electronic energy band theory and magnetic crystal symmetry.
A compact and worthwhile compilation of the scattered material on standard methods, this volume presumes a basic understanding of quantum theory. Would you like to tell us about a lower price? If you are a seller for mwchanics product, would you like to suggest updates through seller support?
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Write a customer review. Showing of 10 reviews. Top Reviews Most recent Top Reviews. There was a problem filtering reviews right now. Please try again later. This book is great. It’s opened my eyes to the symmetries that can provide intuition for a lot of the results in quantum mechanics, molecular theory, and solid state physics. I’ve now become a lot more comfortable with how operators’ invariances give rise to their properties.
Diagonalization is much more natural of an idea to me now. Already be familiar with group theory and quantum mechanics the latter mecuanics the undergraduate level is fine.
The throry three chapters present a dense overview of group theory and notation that will be used in the rest of the book. I’ve had two introductions to group theory and that was still tjnkham enough to get me through those chapters. The content was nevertheless interesting, so long as you reread it enough to understand what Tinkham is going on about!
One person found this helpful. Tinkham’s book, however, is the only one that I have been able to understand relatively well. Tinkham gently takes you by the hand and starts you out on a tutorial that addresses the symmetry of a simple example from plane geometry, and then gradually builds up wuantum more sophisticated problems. Character tables and the various orthogonality and normalization relations that make them useful are developed tinkuam used for both simple e. Lie Groups, Schur’s Lemma, angular momentum, crystal symmetry, and nature’s inability to conserve mecbanics are among the topics addressed.
The treatment of Lorentz and Poincare groups required for a more sophisticated understanding of quantum field theory, however, is not included in this book–for those topics Weinberg’s The Quantum Theory of Fields, Ginkham 1: I was also not able to understand Tinkham’s proof of the Vector Addition Theorem for angular momentum.
Great for QM lovers! This book has the advantage of applying group theory directly to solvable physical problems.
In most areas of applied physics it is very important to know the basics concepts of group theory, but there is no need to have a deep knowledge as well as to know how to proof all the thsory theorems. As an introductory course for undergrad students this book is well recommended. Great book great price. Tinkham’s text is the first textbook one should go to for a reasonably rigorous introduction to the theory and use of group representations in physics and theoretical chemistry.
Modern theoretical chemists should become familiar tehory all of this book, with the possible exception of the some of the material in Chapter 5 that will be applicable only to physicists and not a lot of that, actually. The pervasiveness of band theory, even in general inorganic chemistry journals now, should convince chemists who teach this subject to include a lot of Chapter 8 Solid-State Theory and chemical theorists will even have to go beyond the symmorphic groups treated here.
The purely mathematical aspects of the subject are treated briefly, but much more completely, than “chemical group theory books” like Cotton’s, for example. Naturally, this comes at a price of more mathematical abstractness, but that is unavoidable. These sections, like the rest of the book, are very well written.
Chapter 7, on applications to molecular quantum mechanics, is now quite dated. It was quite incomplete even when written, since it did not include any discussion of ligand-field theory. The effects of antisymmetric wavefunctions for electrons are touched on briefly in Chapter 5 atomsbut are not adequately accounted for in discussion of molecules. Incidentally, the failure to use Mulliken notation in molecular QM is an unfortunate annoyance.
These objections aside, this book is an excellent buy for the price of a Dover edition. Indeed, if I’d included mechancis in my rating, it would be 5 stars – easily! I began reading this book having just finished a course on Abstract Algebra through my school’s math department, and the semester before I took a graduate course on the exact subject.
After taking the math course, I was presented with group theory as if it were some muddled mix of facts, and the course came across as a poorly taught class on number theory.
After reading just the first chapter of Tinkham’s book, I developed a new, deeper understanding of group theory as a whole. For example, the way that Tinkham presents normal subgroups makes vastly more intuitive sense than the presentation I received in my medhanics course. The rest is made up entirely of the fact that the book does not piddle around with trivial examples, but genuinely frames quantum mechanics in the language of group theory, and the most important part is that Tinkham does vroup well.
This book, along with his book on superconductivity, are must-haves for any serious condensed matter person, and this book should be at least read if not owned by any physics grad student. See all 10 reviews. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers.
Group Theory and Quantum Mechanics
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