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math.SP2013
On the lowest energy of a 3D magnetic hamiltonian with axisymmetric potential
Nicolas Popoff
We study the bottom of the spectrum of a magnetic hamiltonian with axisymmetrical potential in R3. The associated magnetic field is planar, unitary and non-constant. The problem re…
math.AP2013
The model magnetic Laplacian on wedges
Nicolas Popoff
We study a model Schrödinger operator with constan tmagnetic field on an infinite wedge with natural boundary conditions. This problem is related to the semiclassical magnetic Lapl…
math.AP2013★ 2 cited
Ground Energy of the Magnetic Laplacian in Polyhedral Bodies
Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff
The asymptotic behavior of the first eigenvalues of magnetic Laplacian operators with large magnetic fields and Neumann realization in polyhedral domains is characterized by a hier…