Classical Groups for Physicists |
Contents
Introduction | 1 |
Groups Composed of Regular Matrices | 7 |
Local Properties of Lie Groups | 17 |
Copyright | |
23 other sections not shown
Common terms and phrases
3j-symbol A₁ arbitrary associated Barut basic representations basis calculation Cartan Cartan-Weyl Casimir invariants Casimir operator commutation relations compact groups complex components connected consider construct continuous corresponding coupling coefficients defined diagonal discrete Dynkin diagram eigenvalue spectrum eigenvalues eigenvectors elementary representations Euclidean space evaluation EXERCISES fermion finite functions give given greatest weight group G group SO(3 H₁ hence highest weight homotopic hydrogen atom identity infinitesimal operators integers irreducible representation isoscalar factors Kronecker product labeled Lie groups m₁ neighborhood noncompact group obtain orthogonal phase plethysm properties quantum numbers quasi-spin readily real line real simple Lie recoupling reduced matrix elements result root vectors rotation S-functions satisfy semisimple Lie algebra Show simple Lie algebras simple roots spinor representations subalgebra subgroup subspace symmetric T₁ Table tensor operator tions topological group topological space transformation unitary representations Wigner-Eckart theorem α α α β αι Εα Εβ