Lie Groups for Pedestrians

amplitudes analogous angular momentum algebra angular momentum operators annihilation operators antisymmetric ators baryon number baryon resonances bilinear products bosons Casimir operator change the number charge conjugation classification Clebsch-Gordan coefficients commutation rules consider convenient corresponding creation and annihilation creation operators decay decuplet defined eigenfunctions eigenstates eigenvalues electromagnetic interaction elementary particles expressed in terms fermion group SU3 half-integral Hamiltonian harmonic oscillator isospin and U-spin isospin doublet isospin multiplets isospin operators isospin transformations isovector lambdas Lie algebra linear combination mass-splitting matrix elements multiplets arising neutron nucleons number of particles obtained octet model permutation symmetry phase convention physical pions plets possible proton pseudoscalar mesons quasispin operators reactions rotation group Sakata model sakaton space spin step operators strong interactions SU₂ subgroups SU3 multiplets symplectic group three-dimensional tion total number totally symmetric transformation properties U-spin conservation U-spin scalar vector meson wave function Young diagram zero