Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case)
Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case)
In a recent paper Lu and Pan have analyzed the asymptotic behavior, in the semi-classical regime, of the ground state energy of the Neumann realization of the Schrödinger operator in the case of dimension 3. Although these results are rather satisfactory when the magnetic field is non-constant and satisfies some …