Magnetic fields and boundary conditions in spectral and asymptotic analysis
arXiv:1902.11143
Abstract
This memoir is devoted to a part of the results from the author about two topics: in the first part, the asymptotics of the low-lying eigenvalues of Schrödinger operators in domains that may have corners, and in the second part, the analysis of the thresholds of a class of fibered operators. The main common object is the magnetic Laplacian, and the two parts are connected through the study of model problems in unbounded domains.
References in corpus (7)
- Quasi-classical versus non-classical spectral asymptotics for magnetic Schroedinger operators with decreasing electric potentials
- Mean curvature bounds and eigenvalues of Robin Laplacians
- On edge states in semi-infinite quantum Hall systems
- Effects of confinement and surface enhancement on superconductivity
- On the asymptotics of the principal eigenvalue for a Robin problem with a large parameter in planar domains
- On the discrete spectrum of Robin Laplacians in conical domains
- Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition