Wednesday, March 23rd, 2016
3:00pm - 4:00pm, in McCormack 2-404

Tomoyuki Kakehi

Okayama University, Japan

Schroedinger equation on certain compact symmetric spaces

Abstract: As is well known in quantum physics, Schroedinger equation describes the motion of a particle. For this reason, the Schroedinger equation on $\mathbb{R}^n$ has been extensively studied by a lot of people. On the other hand, nothing is known about the Schroedinger equation on (compact) symmetric spaces. In this colloquium, I will talk about some strange property of the fundamental solution to the Schroedinger equation on certain compact symmetric spaces. First, I will start with the Schroedinger equation on $S^1$, and then generalize the result on $S^1$ to the case of odd dimensional spheres. Finally, I will mention what happens on general compact symmetric spaces.