Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS)
Dr. Keita Mikami
Ph.D. in Mathematical Science
- Research Fields
- Mathematics, Analysis, Partial Differential Equations
- Term and History
- 2019-05-01 - Research Scientist
- Related Website
- Dr. Keita Mikami's personal website
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.
iTHEMS x academist online open to the public "Mathematical Science World 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