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 Schrödinger equation, superoscillating behavior at any given time implies superoscillating behavior at any other time.
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Research Article| November 20 2014
Quantum harmonic oscillator with superoscillating initial datum
R. V. Buniy;
R. V. Buniy, F. Colombo, I. Sabadini, D. C. Struppa; Quantum harmonic oscillator with superoscillating initial datum. J. Math. Phys. 1 November 2014; 55 (11): 113511. https://doi.org/10.1063/1.4901753
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