Quantum revivals and fractality for the Schrödinger equation
Gunwoo Cho, Jimyeong Kim, Seongyeon Kim, Yehyun Kwon, Ihyeok Seo · arXiv (Cornell University) · 2021
We investigate the behavior of the Schrödinger equation under the influence of potentials, focusing on its relationship to quantum revivals and fractality. Our findings reveal that the solution displays fractal behavior at irrational times, while exhibiting regularity similar to the initial data at rational times. These extend the results of Oskolkov \cite{O} and Rodnianski \cite{R2} on the free Schrödinger evolution to the general case regarding potentials.