Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists

ISBN-13: 9780521884006 / Angielski / Twarda / 2008 / 332 str.

Robert Gilmore

Opis

Introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering.

Recenzje

'… provides a very comprehensive introduction to the Lie group theory and its application in physics … very clear and easy to acquire and assimilate by students and young researchers. The numerous problems with which each chapter ends not only illustrate and help for understanding the presented material but also reveal new features and applications. Some new original ideas and results are also contained in the book … The book could also be useful for specialists, who want to refresh their knowledge on Lie group applications to physics. Finally it is recommended to everyone who wishes to enter into this interesting and fascinating field.' Geometry and Symmetry in Physics

Spis treści

1. Introduction; 2. Lie groups; 3. Matrix groups; 4. Lie algebras; 5. Matrix algebras; 6. Operator algebras; 7. Exponentiation; 8. Structure theory for Lie algebras; 9. Structure theory for simple Lie algebras; 10. Root spaces and Dykin diagrams; 11. Real forms; 12. Riemannian symmetric spaces; 13. Contraction; 14. Hydrogenic atoms; 15. Maxwell's equations; 16. Lie groups and differential equations; References; Index.