---
product_id: 8905314
title: "Group Theory and Quantum Mechanics (Dover Books on Chemistry)"
price: "€ 49.00"
currency: EUR
in_stock: true
reviews_count: 10
url: https://www.desertcart.sk/products/8905314-group-theory-and-quantum-mechanics-dover-books-on-chemistry
store_origin: SK
region: Slovakia
---

# Group Theory and Quantum Mechanics (Dover Books on Chemistry)

**Price:** € 49.00
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- **What is this?** Group Theory and Quantum Mechanics (Dover Books on Chemistry)
- **How much does it cost?** € 49.00 with free shipping
- **Is it available?** Yes, in stock and ready to ship
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## Description

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 of finite groups and their representation is developed in Chapters 1 through 4 and 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.

Review: A book on group theory that I can understand--at least for most part! - I have attempted to read other books on group theory, especially those intended for physicists, including Weyl's book The Theory of Groups and Quantum Mechanics . 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 to more sophisticated problems. Character tables and the various orthogonality and normalization relations that make them useful are developed and used for both simple (e.g. plane geometry) and more sophisticated problems. Lie Groups, Schur's Lemma, angular momentum, crystal symmetry, and nature's inability to conserve parity 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, Volume 1: Foundations ) suggestion of Tung's Group Theory in Physics would seem to be reasonable. I was also not able to understand Tinkham's proof of the Vector Addition Theorem for angular momentum. I found a version of the proof that I could understand, however, in Wigner's book Group Theory and It's Application to the Quantum Mechanics of Atomic Spectra , and I display this proof along with my review of Wigner's book.
Review: A must-read for physicists - warning: be familiar with group theory first! - 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. Prerequisites & Notes: Already be familiar with group theory and quantum mechanics (the latter at the undergraduate level is fine). The first 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 barely 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! (Again, pretty dense)

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #853,016 in Books ( See Top 100 in Books ) #58 in Group Theory (Books) #678 in General Chemistry #687 in Quantum Theory (Books) |
| Customer Reviews | 4.7 out of 5 stars 72 Reviews |

## Images

![Group Theory and Quantum Mechanics (Dover Books on Chemistry) - Image 1](https://m.media-amazon.com/images/I/71DJO3EkpzL.jpg)

## Customer Reviews

### ⭐⭐⭐⭐⭐ A book on group theory that I can understand--at least for most part!
*by U***S on January 6, 2011*

I have attempted to read other books on group theory, especially those intended for physicists, including Weyl's book The Theory of Groups and Quantum Mechanics . 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 to more sophisticated problems. Character tables and the various orthogonality and normalization relations that make them useful are developed and used for both simple (e.g. plane geometry) and more sophisticated problems. Lie Groups, Schur's Lemma, angular momentum, crystal symmetry, and nature's inability to conserve parity 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, Volume 1: Foundations ) suggestion of Tung's Group Theory in Physics would seem to be reasonable. I was also not able to understand Tinkham's proof of the Vector Addition Theorem for angular momentum. I found a version of the proof that I could understand, however, in Wigner's book Group Theory and It's Application to the Quantum Mechanics of Atomic Spectra , and I display this proof along with my review of Wigner's book.

### ⭐⭐⭐⭐⭐ A must-read for physicists - warning: be familiar with group theory first!
*by A***M on January 26, 2018*

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. Prerequisites & Notes: Already be familiar with group theory and quantum mechanics (the latter at the undergraduate level is fine). The first 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 barely 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! (Again, pretty dense)

### ⭐⭐⭐⭐ Good for the Undergrad Students.
*by E***A on August 27, 2007*

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 main theorems. As an introductory course for undergrad students this book is well recommended.

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*Product available on Desertcart Slovakia*
*Store origin: SK*
*Last updated: 2026-05-23*