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arXiv · 1305.4880

Higher order Schrodinger and Hartree-Fock equations

Remi Carles·Wolfgang Lucha·Emmanuel Moulay
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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.

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Remi Carles, Wolfgang Lucha, Emmanuel Moulay. 2015-11-19. Higher order Schrodinger and Hartree-Fock equations. https://doi.org/10.1063/1.4936646

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