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(Ebook PDF) Lie Groups and Lie Algebras A Physicist’s Perspective 1st Edition by Adam Bincer 0199662920 9780199662920 Full chapter

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Lie Groups and Lie Algebras A Physicist s Perspective 1st ed Edition Adam M. Bincer Digital Instant Download

Author(s): Adam M. Bincer
ISBN(s): 9780199662920, 0199662924
Edition: 1st ed
File Details: PDF, 6.59 MB
Year: 2013
Language: english
SKU: EB-4379940 Category: Tag:

Lie Groups and Lie Algebras A Physicist’s Perspective 1st Edition by Adam M. Bincer – Ebook PDF Instant Download/Delivery: 0199662920, 978-0199662920
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Product details:

ISBN 10:         0199662920
ISBN 13: 978-0199662920
Author:          Adam M. Bincer

This book is intended for graduate students in Physics. It starts with a discussion of angular momentum and rotations in terms of the orthogonal group in three dimensions and the unitary group in two dimensions and goes on to deal with these groups in any dimensions. All representations of su(2) are obtained and the Wigner-Eckart theorem is discussed. Casimir operators for the orthogonal and unitary groups are discussed. The exceptional group G2 is introduced as the group of automorphisms of octonions. The symmetric group is used to deal with representations of the unitary groups and the reduction of their Kronecker products. Following the presentation of Cartan’s classification of semisimple algebras Dynkin diagrams are described. The book concludes with space-time groups – the Lorentz, Poincare and Liouville groups – and a derivation of the energy levels of the non-relativistic hydrogen atom in n space dimensions.
 

Lie Groups and Lie Algebras A Physicist’s Perspective 1st Table of contents:

Chapter 1. Generalities

Chapter 2. Lie groups and Lie algebras

Chapter 3. Rotations: SO(3) and SU(2)

Chapter 4. Representations of SU(2)

Chapter 5. The so(n) algebra and Clifford numbers

Chapter 6. Reality properties of spinors

Chapter 7. Clebsch–Gordan series for spinors

Chapter 8. The center and outer automorphisms of Spin(n)

Chapter 9. Composition algebras

Chapter 10. The exceptional group G2

Chapter 11. Casimir operators for orthogonal groups

Chapter 12. Classical groups

Chapter 13. Unitary groups

Chapter 14. The symmetric group Sr and Young tableaux

Chapter 15. Reduction of SU(n) tensors

Chapter 16. Cartan basis, simple roots and fundamental weights

Chapter 17. Cartan classification of semisimple algebras

Chapter 18. Dynkin diagrams

Chapter 19. The Lorentz group

Chapter 20. The Poincaré and Liouville groups

Chapter 21. The Coulomb problem in n space dimensions

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