Continuous Groups for Physicists

Continuous Groups for Physicists is a book that covers the general theory of Lie groups and Lie algebras, their representations in quantum mechanics, and the infinite classical families of compact simple Lie groups. It discusses topics like spinor representations, Schwinger representation, induced representations, systems of coherent states, real symplectic groups, Wigner's theorem, ray representations, and groups associated with non-relativistic and relativistic space-time.

Format: Hardback
Length: 300 pages
Publication date: 05 January 2023
Publisher: Cambridge University Press

This book is a comprehensive resource for graduate students and researchers in theoretical physics. It has been carefully crafted to provide a balanced coverage of advanced and non-standard topics, while equally emphasizing the fundamental concepts necessary for a thorough understanding. The book delves into the general theory of Lie groups and Lie algebras, exploring the connections between them and their representations in the context of quantum mechanics. It provides detailed explanations of the four infinite classical families of compact simple Lie groups and their various representations.

Furthermore, readers will gain valuable insights into topics such as spinor representations of real orthogonal groups, the Schwinger representation of a group, induced representations, systems of coherent states, real symplectic groups significant in quantum mechanics, Wigner's theorem on symmetry operations in quantum mechanics, ray representations of Lie groups, and groups associated with non-relativistic and relativistic space-time.

By presenting these topics in a clear and concise manner, Continuous Groups for Physicists serves as an invaluable guide for those seeking to deepen their knowledge in the field of theoretical physics. Whether you are a student or a professional, this book will provide you with the necessary tools and insights to advance your understanding of Lie groups and their applications.

Weight: 646g
Dimension: 192 x 251 x 25 (mm)
ISBN-13: 9781009187053