## A Course on the Application of Group Theory to Quantum Mechanics |

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### Contents

LectureII The Theory of Matrix Representations pp 1221 | 12 |

Matrix Representations Cont pp 2235 | 22 |

Applications to Quantum Mechanics 3649 | 36 |

Copyright | |

14 other sections not shown

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### Common terms and phrases

angular momentum apply associated atom baryon basis elements basis functions calculate characters coefficients commutation relations components consider construct coordinates corresponding deduce defining rep diagonal dimension dimensional direct product eigenfunctions eigenvalues electrons equation equivalent example follows Frobenius formula functions belonging functions f fundamental weights given GL(N group algebra group elements group operators Hamiltonian Hence hypercharge identity image space independent integers invariant space irred rep irreducible representations isomorphic isospin labels left ideal let us denote Lie algebra Lie group linear combination multiplets multiplication notation octet one-particle functions orbital parameters particle primitive idempotent proof quantum number quark reducible rep of SU(2 respect result rotation scalar product Section selection rule set of basis set of functions spin functions SU(N subgroup subspaces subtend Suppose symmetric group symmetric tensors symmetry symmetry vectors tabs theorem theory tions transform according unitary matrix values variables weight vectors Young graphs Young operator