Rémi Carles, Wolfgang Lucha, Emmanuel Moulay
Published 2013-05-21, updated 2015-11-15Version 2
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.
Comments: 19 pages, to appear in J. Math. Phys
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