Symbolic Program for Generating the Many-body Perturbation-theory Formulas
نویسندگان
چکیده
The second quantized form of Rayleigh-Schrodinger perturbation theory is symbolically manipulated to derive many-body perturbation theory (MBPT) formulas for particle-hole excited states of closed shell atoms. The analytic results obtained from the symbolic code, written in Mathematica, will be presented for the lowest orders of MBPT. These results compare exactly with the results obtained by hand through third order. We give, for the closed shell atoms, analytic formulas for energies in rst and second order using the Hartree-Fock (HF) model.
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