Kyoto Institute of Technology · Division of Fundamental Sciences · 教授

Research fieldsスペクトル・散乱理論

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• The uniqueness of the integrated density of states for the Schrödinger operators with magnetic fields
• Norm resolvent convergence to Schrödinger operators with infinitesimally thin toroidal magnetic fields
• Landau levels on the hyperbolic plane in the presence of Aharonov–Bohm fields
• A Self-adjointness Criterion for the Schrödinger Operator with Infinitely Many Point Interactions and Its Application to Random Operators

• 磁場をもつ相対論的ハミルトニアンのスペクトル解析
• ランダムδ磁場を持つシュレディンガー作用素の解析
• シュレディンガー方程式のスペクトル・散乱理論の研究
• 特異磁場をもつシュレーディンガー作用素とアハラノフ・ボーム効果

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