Higher order Schrodinger and Hartree-Fock equations
Résumé
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.
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