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Lie Groups and Lie Algebras - A Physicist's Perspective

By Bincer, Adam M.

Lie Groups and Lie Algebras - A Physicist's Perspective Mathematics

Lie Groups and Lie Algebras - A Physicist's Perspective

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Description
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 thegroup 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 withspace-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.
Product details
Edition:
1
Number of Pages:
216
Release Date:
2012-12-12
Publication Date:
2014-06-26
Publisher:
ACADEMIC
Languages:
Original: English
ISBN10:
0199662924
ISBN13:
9780199662920
GPSR Manufacturer Reference:
[email protected]
Weight:
610 g
Height:
183 cm
Width:
260 cm
Thickness:
16 cm
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