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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.


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.

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American Institute of Physics



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