Research Fields
Mathematics, Analysis, Partial Differential Equations
Term and History
2019/05/01 - 2024/09/30 Research Scientist
2024/10/16 - Visiting Scientist (Main: Assistant Professor, Graduate School of Information Science, University of Hyogo)

Self-introduction

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.

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iTHEMS x academist online open to the public "World of Mathematical Sciences 2021"

April 18 (Sun) at 10:00 - 16:30, 2021 Special Lecture

From Eigenvalues to Resonances

May 1 (Fri) at 16:00 - 18:10, 2020 Seminar iTHEMS Math Seminar

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

October 30 (Wed) at 8:40 - 10:00, 2019 Seminar Berkeley-iTHEMS Seminar

Introduction to Schroedinger Operators

July 12 (Fri) at 16:00 - 18:10, 2019 Seminar iTHEMS Math Seminar

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