Analysis Seminar with Emanuela Giacomelli (LMU München)
A 3D-Schrödinger operator under magnetic steps with semiclassical applications
Speaker: Emanuela Giacomelli (LMU München)
Abstract: In this talk we study the spectrum of a Schrödinger operator on the half-space with a discontinuous magnetic field having a piecewise-constant strength and a uniform direction. Motivated by applications in the theory of superconductivity, we use the Schrödinger operator on the half-space to study a new semiclassical problem in bounded domains of the space, considering a magnetic Neumann Laplacian with a piecewise-constant magnetic field. We then make precise the localization of the semiclassical ground state near specific points at the discontinuity jump of the magnetic field. Based on a joint work with Wafaa Assaad.
Tid: 2023-01-31 13:15 till 14:15
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