Document Type
Article
Publication Date
2014
Abstract
In this paper, we study the evolution of superoscillating initial data for the quantum driven harmonic oscillator. Our main result shows that superoscillations are amplified by the harmonic potential and that the analytic solution develops a singularity in finite time. We also show that for a large class of solutions of the Schrodinger equation, superoscillating behavior at any given time implies superoscillating behavior at any other time.
Recommended Citation
Buniy, R. V., et al. "Quantum harmonic oscillator with superoscillating initial datum." Journal of Mathematical Physics 55.11 (2014): 113511. doi: 10.1063/1.4901753
Peer Reviewed
1
Copyright
American Institute of Physics
Comments
This is a working paper version of an article accepted for publication in Journal of Mathematical Physics, volume 55, issue 11, 2014 following peer review. The definitive publisher-authenticated version is available online at DOI: 10.1063/1.4901753.