On the ground state energy for a magnetic Shcrödinger operator and the effect of the De Gennes Boundary condition
arXiv:math-ph/0601057 · doi:10.1063/1.2424790
Abstract
Motivated by the Ginzburg-Landau theory of superconductivity, we estimate in the semi-classical limit the ground state energy of a magnetic Schrödinger 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.
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