Propagator Calculations On Molecular Ionization And Excitation Processes
Propagator Calculations On Molecular Ionization And Excitation Processes
Ortiz, Joseph Vincent
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The Hartree-Fock wavefunction is included as a special case of the AGP by restricting M to be the number of electrons divided by two. For the case of odd-electron systems, the generalized AGP N+K N/2 A c n Xi (i) n g(2i-l,2i) . (2-14) Ab i=N+l n i=l where the system has N + K electrons, is the wavefunction that fulfills the consistency requirements of the RPA. Returning to the simple AGP, a superposition of configurations is generated when M is greater than half the number of electrons. This ex...pansion of configurations is I I ... I W >i N/2 9i l 9i 2'" 9i N/2 X det{$. (1)$' (2)*. (3)*'. (4)...$, (N-l)*' (N)} (2-15' 1 1 n 2 3 2 \/2 n N/2 and includes certain double, quadruple, hextuple and higher even-fold excitations from any determinant which is chosen as the reference 53 configuration. In this study, the geminal will be optimized in its natural form and the further restrictions to the singlet, restricted case M . 9(1,2) = I 9,^(1)^(2) 1 (a(D3(2)-6(l)a(2)) (2-16; i=l /2 will be made, where {*•} stand for spatial orbitals.
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