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On the ground state energy for a magnetic Schrödinger operator and the effect of the DeGennes boundary condition
Motivated by the Ginzburg-Landau theory of superconductivity, we estimate in the semiclassical limit the ground state energy of a magnetic Schrödinger operator with De Gennes boundary condition and we study the localization of the ground states. We exhibit cases when the De Gennes boundary condition has strong effects on this …