Download e-book for iPad: Lie Groups and Lie Algebras - A Physicist's Perspective by Adam M. Bincer

By Adam M. Bincer

ISBN-10: 0199662924

ISBN-13: 9780199662920

This booklet is meant for graduate scholars in Physics. It begins with a dialogue of angular momentum and rotations when it comes to the orthogonal workforce in 3 dimensions and the unitary crew in dimensions and is going directly to care for those teams in any dimensions. All representations of su(2) are received and the Wigner-Eckart theorem is mentioned. Casimir operators for the orthogonal and unitary teams are mentioned. the phenomenal workforce G2 is brought as the
group of automorphisms of octonions. The symmetric staff is used to house representations of the unitary teams and the relief in their Kronecker items. Following the presentation of Cartan's type of semisimple algebras Dynkin diagrams are defined. The booklet concludes with
space-time teams - the Lorentz, Poincare and Liouville teams - and a derivation of the strength degrees of the non-relativistic hydrogen atom in n area dimensions.

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Lie Groups and Lie Algebras - A Physicist's Perspective by Adam M. Bincer

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