Theory of Group Representations and Its Applications in Quantum Mechanics: Lecture Notes, Fall, 19581958 - Group theory - 242 pages |
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A₁ A₂ angular momentum antisymmetric atom axes axis B₁ B₂ basis functions C₂ character table commutes configuration conjugate contains coordinates corresponding cosets define degeneracy degenerate determinant diagonal matrix dimension dimensionality direct product direct sum eigenfunctions eigenvalues electrons energy equation example form bases given group of degree group representation group theory Hamiltonian Hence Hermitean Hermitean matrix identity integral interchanges invariant inverse irreducible representations levels linear combinations multiplication table normal divisor Note null matrix number of elements octahedral field octahedral group one-dimensional orbital orthogonality theorem particles permutation group perturbed problem properties quantum numbers relation representations based rotation group S₂ Schur's Lemma similarity transformation Similarly simply sin² singlet spherical harmonics spin operators splitting subgroup Suppose symmetric group symmetry operations T₁ T₂ totally symmetric triplet unitary matrix vectors wave functions write zero Σα