Lie Groups and Lie Algebras - A Physicist's Perspective (Hardcover)

Bincer, Adam M.

  • 出版商: Oxford University
  • 出版日期: 2012-12-12
  • 售價: $900
  • 貴賓價: 9.5$855
  • 語言: 英文
  • 頁數: 224
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0199662924
  • ISBN-13: 9780199662920
  • 無法訂購

買這商品的人也買了...

相關主題

商品描述

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.

作者簡介


Adam Bincer is Professor Emeritus at University of Wisconsin - Madison.