Lie Groups and Lie Algebras A Physicist s Perspective is popular PDF and ePub book, written by Adam M. Bincer in 2013, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Lie Groups and Lie Algebras A Physicist s Perspective can be Read Online from any device for your convenience.
Lie Groups and Lie Algebras A Physicist s Perspective Book PDF Summary
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.
Detail Book of Lie Groups and Lie Algebras A Physicist s Perspective PDF
- Author : Adam M. Bincer
- Release : 01 October 2024
- Publisher : Oxford University Press
- ISBN : 9780199662920
- Genre : Mathematics
- Total Page : 216 pages
- Language : English
- PDF File Size : 10,6 Mb
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