Research Fields
Mathematics, Analysis, Partial Differential Equations
Term and History
2019-05-01 - Research Scientist
Related Websites
Dr. Keita Mikami's personal website

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.

Related Events

Harmonic Analysis and Differential Equations Seminar

October 29 at 15:40 - 17:00, 2019

Introduction to Schroedinger Operators

July 12 at 16:00 - 18:10, 2019

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