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The Harmonic Oscillator
Orbital angular momentum and the spherical harmonics
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amplitude antilinear antilinear operator antisymmetrical antiunitary applying asymptotic atom basis vectors Born approximation calculation central potential coefficients collision commutation relations complete complex conjugate components condition conservation consider corresponding Coulomb cross section deduce defined definition degeneracy denote density Dirac Dirac equation eigenfunctions eigenstates eigenvalue eigenvectors electrons energy equal expansion expression fermions field formula given gives half-integral Hamiltonian Hermitean identical identical particles infinitesimal infinitesimal rotation integral interaction irreducible tensor operator levels matrix elements method momenta motion notation nuclei nucleons observables obtained orthogonal parity particle particular permutation perturbation phase factor plane wave potential problem projector properties protons Quantum Mechanics quantum number representation represented respect right-hand side satisfies scattering solution space spectrum spherical harmonics spin stationary subspace suppose symmetrical theorem theory tion total angular momentum transformation transition unitary unperturbed vector operator wave function