偏微分方程式セミナー: Eigenvalues and eigenfunctions of the two-dimensional Schrödinger operator with strong magnetic field, 吉田 尚矢 氏

開催日時

2019年6月21日 16時30分 ～ 2019年6月21日 17時30分

場所

北海道大学理学部3号館3-309室

講演者

吉田 尚矢 氏 (立命館大学)

We consider the spectrum of the two-dimensional Schrödinger operator with homogeneous magnetic field. The non-perturbed 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.

世話人：黒田 紘敏、浜向 直