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1.1 MATHMATICS, Pure mathematics, Applied mathematics, 1.3 PHYSICAL SCIENCES, Atomic, Molecular and Chemical Physics
We consider a system of nonlinear coupled equations involving magnetic Schrodinger
operators and general potentials. We provide a criteria for the existence of multiple
solutions to these equations. As special cases we get the classical results on
existence of innitely many distinct solutions within Hartree and Hartree-Fock
theory of atoms and molecules subject to an external magnetic fields. We also
extend recent results within this theory, including Coulomb system with a constant
magnetic field, a decreasing magnetic field and a "physically measurable" magnetic field.
Journal of Differential Equations (2012), to appear.