Group Theory in Physics: Volume 1

Informationen zum Autor J.F. Cornwell is a professor of theoretical physics at the University of Saint Andrews. He is a Fellow of the Royal Society of Edinburgh. Cornwell's research interestsin mathematical physics have extended from solid-state theory to fundamental particle physics, with group theory and its related mathematical developments providing a unifying theme. Klappentext This work presents important mathematical developments to theoretical physicists in a form that is easy to comprehend and appreciate. Finite groups! Lie groups! Lie algebras! semi-simple Lie algebras! crystallographic point groups and crystallographic space groups! electronic energy bands in solids! atomic physics! symmetry schemes for fundamental particles! and quantum mechanics are all covered in this compact new edition. Key Features Covers both group theory and the theory of Lie algebras Includes studies of solid state physics! atomic physics! and fundamental particle physics Contains a comprehensive index Provides extensive examples Inhaltsverzeichnis The Basic Framework. The Structure of Groups. Lie Groups. Representation of Groups--Principal Ideas. Representation of Groups--Developments. Group Theory in Quantum Mechanical Calculations. Crystallographic Space Groups. The Role of Lie Algebras. The Relationships Between Lie Groups and Lie Algebras Explored. The Three-Dimensional Rotation Groups. The Structure of Semi-Simple Lie Algebras. Representations of Semi-Simple Lie Algebras. Symmetry Schemes for the Elementary Particles. Appendices. References. Subject Index.

Autorentext
J.F. Cornwell is a professor of theoretical physics at the University of Saint Andrews. He is a Fellow of the Royal Society of Edinburgh. Cornwell's research interestsin mathematical physics have extended from solid-state theory to fundamental particle physics, with group theory and its related mathematical developments providing a unifying theme.

Klappentext

This work presents important mathematical developments to theoretical physicists in a form that is easy to comprehend and appreciate. Finite groups, Lie groups, Lie algebras, semi-simple Lie algebras, crystallographic point groups and crystallographic space groups, electronic energy bands in solids, atomic physics, symmetry schemes for fundamental particles, and quantum mechanics are all covered in this compact new edition. Key Features Covers both group theory and the theory of Lie algebras Includes studies of solid state physics, atomic physics, and fundamental particle physics Contains a comprehensive index Provides extensive examples

Inhalt

The Basic Framework. The Structure of Groups. Lie Groups. Representation of Groups--Principal Ideas. Representation of Groups--Developments. Group Theory in Quantum Mechanical Calculations. Crystallographic Space Groups. The Role of Lie Algebras. The Relationships Between Lie Groups and Lie Algebras Explored. The Three-Dimensional Rotation Groups. The Structure of Semi-Simple Lie Algebras. Representations of Semi-Simple Lie Algebras. Symmetry Schemes for the Elementary Particles. Appendices. References. Subject Index.