Abstract
The domain of validity of the higher-order Schrodingerequations is analyzed for harmonic-oscillator and Coulombpotentials as typical examples. Then the Cauchy theory forhigher-order Hartree-Fock equations with~bounded and Coulombpotentials is developed. Finally, the existence of associated groundstates for the odd-order equations is proved. This renders thesequantum equations relevant for physics.