The path-integral technique in quantum mechanics provides an intuitive framework for comprehending particle propagation and scattering. Calculating the propagator for the Aharonov-Bohm potential fits into the range of potentials in multiply-connected spaces, with the propagator represented through a series expansion. In this paper, we analyze the Schr & ouml;dinger evolution of superoscillations, showing the supershift properties of the solution to the Schr & ouml;dinger equation for this potential. Our proof is based on the continuity of particular infinite order differential operators acting on spaces of entire functions.
Aharonov-Bohm effect and superoscillations
Colombo F.;Sabadini I.;
2025-01-01
Abstract
The path-integral technique in quantum mechanics provides an intuitive framework for comprehending particle propagation and scattering. Calculating the propagator for the Aharonov-Bohm potential fits into the range of potentials in multiply-connected spaces, with the propagator represented through a series expansion. In this paper, we analyze the Schr & ouml;dinger evolution of superoscillations, showing the supershift properties of the solution to the Schr & ouml;dinger equation for this potential. Our proof is based on the continuity of particular infinite order differential operators acting on spaces of entire functions.File in questo prodotto:
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