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SOME MATHEMATICAL PRELIMINARIES
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amplitude angular momentum coupling antisymmetrized approximation basis calculation cancel cfps Clebsch-Gordan coefficients closed shell closed-shell closed-shell-plus-one commutation configuration consider contribution coordinates core defined diagonal matrix discussed effective interaction eigenvalues eigenvectors energy denominators equation evaluated example expectation value expression folded diagrams functions G-interactions G-matrix Goldstone ground-state Hamiltonian harmonic oscillator Hartree-Fock Hermitian hole line insertion integral intermediate isospin isospin formalism labels magnetic model space multipole neutron nj,mi normalization nuclear nuclei nucleon-nucleon nucleons obtained one-body operator open-shell orbital orthogonal particle-hole permutation perturbation expansion perturbation theory Phys potential properties proton quantum numbers reduced matrix reduced matrix elements represents residual interaction result scalar shell model single-particle energies Slater determinant solution spectroscopic factor spectrum spherical spin sum rule symmetry tensor theorem tion total angular momentum transition strength two-body matrix elements two-body operator two-particle unperturbed valence valence diagrams vector wavefunction zero