GROUP THEORY FOR PHYSICISTS: WITH APPLICATIONS

Book Details

• Author: Pichai Ramadevi

• Publisher: Cambridge University Press

• Edition: First Edition

• Binding: Paperback

• Number of Pages: 350

• Release Date: 31-10-2021

• ISBN: 9781108454278

• Dimensions: 16.4 x 10.4 x 0.4 inches

• Languages: English

About the Book

Group Theory for Physicists: With Applications by Pichai Ramadevi is an essential guide for understanding the application of group theory in physics. The book bridges the gap between theoretical concepts and practical use, providing readers with a strong foundation in both discrete groups and Lie groups. The text is designed for physicists, students, and researchers, offering both theoretical insights and application-oriented exercises to deepen understanding.

Key Features:

• Fundamental Concepts: The book starts by explaining the fundamentals of group theory, with a focus on how these concepts help understand energy spectra and the degeneracy of systems with both discrete and continuous symmetry.

• Solved Problems and Exercises: To reinforce learning, each chapter contains a variety of solved problems and exercises that help readers practice and apply the concepts discussed. These include topics such as permutation groups, point groups, irreducible representations, and tensor products.

• Discrete Groups and Lie Groups: Detailed discussions on discrete groups (such as permutation and point groups) and Lie groups are provided. The theory is tied to applications, with real-life examples drawn from molecular vibrations, crystal field splitting, and the quark model.

• Applications in Physics: The text demonstrates the application of group theory in various areas of physics, including:

  • Angular momentum algebra

  • The Lorentz group

  • Level splitting perturbation

  • The orthogonal group

• Theory in Practice: Topics like matrix exponential, the circle group, and tensor products are included, helping readers apply group theory concepts to more advanced topics like the quark model and theory composites.

Why This Book is Important:

This book is an invaluable resource for anyone studying or working with group theory in physics. By using a combination of theoretical explanations, practical applications, and problem-solving exercises, it provides readers with a comprehensive understanding of the mathematical structures that underlie many physical systems.

Who Should Read This Book:

• Physics Students and Researchers: Ideal for undergraduate and graduate students who are studying quantum mechanics, solid-state physics, or related fields that use group theory.

• Physicists: Practicing physicists can benefit from the applications covered in the book, especially when dealing with problems involving symmetry, angular momentum, and quantum field theory.

• Anyone Interested in Group Theory and Physics: This book is also suitable for anyone with a background in mathematics or physics who is looking to learn how group theory can be applied to physical systems.

Group Theory for Physicists: With Applications is a comprehensive guide to both the mathematical and physical aspects of group theory, making it an essential resource for anyone working with symmetry in physics.