Higher order Schrodinger and Hartree-Fock equations
arXiv:1305.4880 · doi:10.1063/1.4936646
Abstract
The domain of validity of the higher-order Schrodinger equations is analyzed for harmonic-oscillator and Coulomb potentials as typical examples. Then the Cauchy theory for higher-order Hartree-Fock equations with bounded and Coulomb potentials is developed. Finally, the existence of associated ground states for the odd-order equations is proved. This renders these quantum equations relevant for physics.
19 pages, to appear in J. Math. Phys