2021/05/26 by Gunwoo Cho, Jimyeong Kim, Cho, Gunwoo +7
Computer Science · Physics and Astronomy · #35B10 #35B45 #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum many-body systems
paper · pdf · doi:10.48550/arxiv.2105.12510
openalex publication_date 2021/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \citeO and Rodnianski \citeR2 on the free Schrödinger evolution to the general case regarding potentials.