The Theory Of Groups And Quantum Mechanics (Dover Books On Mathematics)

Book Details

• Author: Hermann Weyl

• Brand: Dover

• Binding: Paperback

• Number of Pages: 444

• Release Date: 01-06-1950

• Languages: English

• ISBN: 9780486602691

About the Book

The Theory of Groups and Quantum Mechanics is a groundbreaking textbook that delves into the profound connection between group theory and quantum mechanics. The book begins with a comprehensive exploration of unitary geometry, groups and their representations, followed by quantum theory. It then transitions into practical applications, covering essential topics such as Lorentz force, rotation, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations.

Group theory, the study of algebraic structures known as groups, plays a central role in abstract algebra, while quantum mechanics is the branch of physics that examines phenomena at nanoscopic scales, typically at the level of the Planck constant. Weyl’s work expertly integrates these two domains, showing how the concepts from group theory can illuminate key aspects of quantum mechanics.

First published in German in 1931 and later translated by the renowned cosmologist H.P. Robertson, this classic text is the first structured presentation of Einstein's Theory of Relativity through the lens of group theory. The Theory of Groups and Quantum Mechanics is a must-have resource for students and scholars of both quantum mechanics and abstract algebra, offering a unique perspective on the marriage of mathematics and physics.