Higher order Schrodinger and Hartree-Fock equations
Mathematical Physics
2015-12-16 v3 High Energy Physics - Phenomenology
High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.1305.4880,
title = {Higher order Schrodinger and Hartree-Fock equations},
author = {Remi Carles and Wolfgang Lucha and Emmanuel Moulay},
journal= {arXiv preprint arXiv:1305.4880},
year = {2015}
}
Comments
19 pages, to appear in J. Math. Phys