The Theory of Groups and Quantum Mechanics

accordance algebra anti-symmetric arbitrary associated assume atom azimuthal quantum belongs character characteristic numbers coefficients column commutation rules completely reduced components conjugate consequently consider consists constitute contained defined denote determined differential dimensionality e₁ electron energy levels equivalent expressed f₁ fact factor finite follows formula function fundamental given group g group manifold h₁ h₂ Hence Hermitian form idempotent idempotent elements inequivalent infinitesimal integral invariant sub-space irreducible representations k₁ linear correspondence linear transformation linearly independent matrix momentum multiplication n-dimensional normal co-ordinate system obtained operator orthogonal P₁ P₂ Paperbound permutation perturbation photons Phys physical polynomial quantity quantization quantum mechanics regular representation replaced repre representation h respect rotation group satisfies the equation scalar sentation spin sub-group system space theorem tion unit unitary representation unitary space unitary transformation values vanish variables vector space wave z-axis Zeeman effect Zeits