[ \hatH = -\frac\hbar^22m\nabla_1^2 - \frac\hbar^22m\nabla_2^2 - \frac2e^24\pi\epsilon_0 r_1 - \frac2e^24\pi\epsilon_0 r_2 + \frace^24\pi\epsilon_0 r_12 ] The ( e^2/r_12 ) term (electron repulsion) prevents exact solution.
: Rigorous notes from UCLA covering , operator-based solutions, Hartree-Fock theory , and Density Functional Theory (DFT) Advanced Quantum Chemistry - ETH Zürich quantum chemistry lecture notes pdf
[ \hatH = -\frac\hbar^22m\nabla_1^2 - \frac\hbar^22m\nabla_2^2 - \frac2e^24\pi\epsilon_0 r_1 - \frac2e^24\pi\epsilon_0 r_2 + \frace^24\pi\epsilon_0 r_12 ] The ( e^2/r_12 ) term (electron repulsion) prevents exact solution.
: Rigorous notes from UCLA covering , operator-based solutions, Hartree-Fock theory , and Density Functional Theory (DFT) Advanced Quantum Chemistry - ETH Zürich