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Motivated by the Ginzburg-Landau theory of superconductivity, we estimate inthe semi-classical limit the ground state energy of a magnetic Schr\"odingeroperator with De Gennes boundary condition and we study the localization of theground state. We exhibit cases when the De Gennes boundary condition has strongeffects on this localization.Comment: content revise

journal of mathematical physics

Erratum: “On the ground state energy for a magnetic Schrödinger operator and the effect of the DeGennes boundary condition” [J. Math. Phys. 47, 072106 (2006)]