On the ground state energy for a magnetic Shcr\"odinger operator and the   effect of the De Gennes Boundary condition
  Motivated by the Ginzburg-Landau theory of superconductivity, we estimate in the semi-classical limit the ground state energy of a magnetic Schr\"odinger operator with De Gennes boundary condition and we study the localization of the ground state. We exhibit cases when the De Gennes boundary condition has strong effects on this localization. 
Ayman Kachmar