PDE Seminar (2019/6/21): Eigenvalues and eigenfunctions of the twodimensional Schrödinger operator with strong magnetic field
 Date

2019621 16:30 
2019621 17:30
 Place
 Faculty of Science Building #3, Room 309

Speaker/Organizer
 Naoya Yoshida (Ritsumeikan University)

 We consider the spectrum of the twodimensional Schrödinger operator with homogeneous magnetic field. The nonperturbed operator has eigenvalues with infinite multiplicity called Landau levels. The perturbation, which decays at infinity, may create eigenvalues with finite multiplicity around each Landau level. In this talk, we give the precise asymptotics of the eigenvalues near the minimum of the potential and the corresponding eigenfunctions as the strength of the magnetic field tends to infinity.