  The essence of atomic structure theory, quantum chemistry, and computational
materials science is solving the multi-electron stationary Schr\"odinger
equation. The Quantum Monte Carlo-based neural network wave function method has
surpassed traditional post-Hartree-Fock methods in precision across various
systems. However, its energy uncertainty is limited to 0.01%, posing challenges
in accurately determining excited states and ionization energies, especially
for elements beyond the fourth period. Using effective core potentials to
account for inner electrons enhances the precision of vertical excitation and
ionization energies. This approach has proved effective in computing ground
state energies for elements like Lithium to Gallium and in calculating energy
levels and wave functions for atoms and molecules with second and fourth period
elements. Additionally, by integrating effective core potentials with Ferminet,
we've achieved multiple excited state calculations with a precision comparable
to experimental results, marking a significant advancement in practical
applications and setting a new standard for theoretical excited state
calculations.
