Research Scientist, RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program
Dr. Keita Mikami
Ph.D. in Mathematical Science
- Research Fields
- Mathematics, Analysis, Partial Differential Equations
- Term and History
- 2019-05-01 - Research Scientist
- Related Websites
- 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.
Semiclassical defect measures and observability estimate for Schrödinger operators with homogeneous potentials of order zero
October 30 at 8:40 - 10:00, 2019
July 12 at 16:00 - 18:10, 2019