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
関連ウェブサイト
三上 渓太の個人ウェブサイト

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

iTHEMS × academist オンライン一般公開「数理で読み解く科学の世界 2021」

2021年4月18日10:00 - 16:30 特別講演会

From Eigenvalues to Resonances

2020年5月1日16:00 - 18:10 セミナー iTHEMS数学セミナー

Semiclassical defect measures and observability estimate for Schrödinger operators with homogeneous potentials of order zero

2019年10月30日8:40 - 10:00 セミナー Berkeley-iTHEMSセミナー

Introduction to Schroedinger Operators

2019年7月12日16:00 - 18:10 セミナー iTHEMS数学セミナー

関連ニュース