研究分野
数学、解析学、偏微分方程式
着任履歴
2019-05-01 - 研究員
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自己紹介

I am Keita Mikami, a research scientist at iTHEMS. My research field is partial differential equations and I work on linear Schrödinger equation. Main subject in the research of linear Schrödinger equation is its spectrum.

I have studied localization in direction phenomena of Schrödinger operators with homogeneous potentials of order zero. Roughly speaking, this is a phenomena such that a solution to Schrödinger equation with this class of potentials localizes in direction as time goes to infinity. I have used spectral theory and semiclassical(microlocal) analysis to understand this phenomena and its application.
Though my interest comes from mathematics, I want to understand physical aspects of Schrödinger equations and find some application of my results in physics since Schrödinger equation is the governing equation in quantum mechanics.

関連イベント

From Eigenvalues to Resonances

2020年5月1日16:00 - 18:10

Introduction to Schroedinger Operators

2019年7月12日16:00 - 18:10

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