理化学研究所 数理創造プログラム 研究員
- 2019-05-01 - 研究員
- 三上 渓太の個人ウェブサイト
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.
2020年5月1日16:00 - 18:10
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
2019年7月12日16:00 - 18:10