On superoscillations longevity: A windowed fourier transform approach

Y. Aharonov; F. Colombo; I. Sabadini; D. C. Struppa; J. Tollaksen

doi:10.1007/978-88-470-5217-8_20

On superoscillations longevity: A windowed fourier transform approach

Y. Aharonov, F. Colombo, I. Sabadini, D. C. Struppa^*, J. Tollaksen

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

12 Scopus citations

Abstract

In this paper we prove that the evolution of a superoscillating sequence of functions YN(x), which we take as the initial value of the Schrodinger equation, remains superoscillating for all values of the time t ã N. We prove this by using a windowed Fourier transform approach. For a video of the talks given by Prof. Aharonov at the Aharonov-80 conference in 2012 at Chapman University, see quantum.chapman.edu/talk-3 and quantum.chapman.edu/talk-30. For the subject of super-oscillations, the editors also recommend the video of the talk given by Prof. Berry at the Aharonov-80 conference in 2012 at Chapman University, see quantum.chapman.edu/talk-6 along with the talk by Prof. Casher, see quantum.chapman.edu/talk-21.]

Original language	English
Title of host publication	Quantum Theory
Subtitle of host publication	A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy
Publisher	Springer-Verlag Milan
Pages	313-325
Number of pages	13
ISBN (Electronic)	9788847052178
ISBN (Print)	9788847052161
DOIs	https://doi.org/10.1007/978-88-470-5217-8_20
State	Published - 1 Jan 2014
Externally published	Yes

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On superoscillations longevity: A windowed fourier transform approach. / Aharonov, Y.; Colombo, F.; Sabadini, I. et al.
Quantum Theory: A Two-Time Success Story: Yakir Aharonov Festschrift the Global Financial Crisis and the Indian Economy. Springer-Verlag Milan, 2014. p. 313-325.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Aharonov, Y.

AU - Colombo, F.

AU - Sabadini, I.

AU - Struppa, D. C.

AU - Tollaksen, J.

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On superoscillations longevity: A windowed fourier transform approach

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