Aharonov-Berry Superoscillations in the Radial Harmonic Oscillator Potential

Authors

Daniel Alpay, Chapman UniversityFollow
Fabrizio Colombo, Politecnico di MilanoFollow
Irene Sabadini, Politecnico di MilanoFollow
Daniele C. Struppa, Chapman UniversityFollow

Document Type

Article

Publication Date

9-18-2019

Abstract

In this paper, we study the evolutions of Aharonov–Berry superoscillations under the radial harmonic oscillator potential. For this model, we know the Green function and, taking advantage of it, we use a method recently developed for the step potential to show how superoscillations evolve in time. Also in this case, the time evolution is studied using the notion of super-shift of functions.

Comments

This article was originally published in Quantum Studies - Mathematics and Foundations, volume 7, issue 3, in 2020. https://doi.org/10.1007/s40509-019-00206-5

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Recommended Citation

Alpay, D., Colombo, F., Sabadini, I. et al. Aharonov–Berry superoscillations in the radial harmonic oscillator potential. Quantum Stud.: Math. Found. 7, 269–283 (2020). https://doi.org/10.1007/s40509-019-00206-5

Peer Reviewed

1

Copyright

Springer