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.

Aharonov–Berry superoscillations in the radial harmonic oscillator potential

Colombo F.;Sabadini I.;
2020-01-01

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.
2020
Convolution operators
Entire functions with growth conditions
Schrödinger equation
Superoscillating functions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1158969
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