On the ground state energy for a magnetic Shcrödinger operator and the effect of the De Gennes Boundary condition

Details On the ground state energy for a magnetic Shcrödinger operator and the effect of the De Gennes Boundary condition On the ground state energy for a magnetic Shcrödinger operator and the effect of the De Gennes Boundary condition

2006-01-26

arxiv.org/abs/math-ph/0601057v2

J. Math. Phys. 47, 072106 (2006)

Physics

Mathematical Physics

content revised

Scientific paper

10.1063/1.2424790

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.

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