On the Cauchy problem for the Schrödinger equation with superoscillatory initial data

@inproceedings{Aharonov2013OnTC,
  title={On the Cauchy problem for the Schr{\"o}dinger equation with superoscillatory initial data},
  author={Yakir Aharonov and Fabrizio Colombo and Irene Sabadini and Daniele C. Struppa and Jeff Tollaksen},
  year={2013}
}
  • Yakir Aharonov, Fabrizio Colombo, +2 authors Jeff Tollaksen
  • Published 2013
  • Mathematics
  • Abstract Superoscillatory functions were introduced in Aharonov and Vaidman (1990) [5] , and recently studied in detail in Aharonov et al. (2011) [2] , Berry (1994) [7] and Berry and Popescu (2006) [9] . In this paper we study the time evolution of a superoscillating function, by taking it as initial value for the Cauchy problem for the Schrodinger equation. By using convolution operators on spaces of entire functions with suitable growth conditions, we prove the surprising fact that the… CONTINUE READING

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 15 CITATIONS

    4-18-2019 Roadmap on Superoscillations

    VIEW 4 EXCERPTS
    CITES METHODS & BACKGROUND

    Roadmap Roadmap on superoscillations

    VIEW 4 EXCERPTS
    CITES METHODS & BACKGROUND