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Young Seminar
Organizers: Douglas Lundholm (IHP) & Julien Sabin (Cergy)


Marwa Nasrallah (Aarhus University): "Energy of surface states for 3D magnetic Schrödinger operators"
Wednesday 03 July 2013, 14:00 - 15:00
Amphi Darboux


Abstract: We prove an asymtotic formula for the energy of surface states for a magnetic Schrödinger operator in a three dimensional domain with compact smooth boundary and Neumann boundary conditions. Using relevant coordinates that straighten out the boundary, the leading order term is expressed in terms of the eigenvalues of model operators in the half-axis and the half-plane.