Work

Higher-order Schrödinger and Hartree–Fock equations

Year: 2015

Type: article

Abstract: The domain of validity of the higher-order Schrödinger 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.

Source: Journal of Mathematical Physics

DOI: 10.1063/1.4936646

Authors: Rémi Carles, Wolfgang Lucha, Emmanuel Moulay