Video library: D. V. Treschev, On a quantum heavy particle

VIDEO LIBRARY


Dynamics in Siberia - 2019 March 1, 2019 09:30, Novosibirsk, Sobolev Institute of Mathematics of Russian Academy of Sciences, Conference Hall

Plenary talks
On a quantum heavy particle D. V. Treschev
Abstract: We consider Schrödinger equation for a particle on a flat $n$-torus in a bounded potential, depending on time. Mass of the particle equals $1/\mu^2$, where $\mu$ is a small parameter. We show that the Sobolev $H^\nu$-norms, $\nu\geqslant1$ of the wave function grow approximately as $t^\nu$ on the time interval $t\in[0,t_]$, where $t_$ is slightly less than $O(1/\mu)$. Language: English