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Evolution of superoscillations in a relativistic wavepacket

Herklots, Jack R, Strange, Paul (2020) Evolution of superoscillations in a relativistic wavepacket. Journal of Physics A: Mathematical and Theoretical, 53 (17). pp. 175302-1. ISSN 1751-8113. (doi:10.1088/1751-8121/ab7d5f) (KAR id:80659)


We analyse the evolution of superoscillations in a relativistic wavepacket. A simple superoscillat- ing wavepacket is set up and is allowed to evolve freely according to both the Klein-Gordon equation and the Dirac equation. The superoscillations evolve anisotropically and decay after a time. Both the lifetime and anisotropy can be understood in terms of the interaction of contributions to the wavepacket from components with strongly diering complex wavenumber. The analysis is sup- ported by numerical calculations and the results are compared with the non-relativistic analysis.

Item Type: Article
DOI/Identification number: 10.1088/1751-8121/ab7d5f
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics
Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Paul Strange
Date Deposited: 30 Mar 2020 15:14 UTC
Last Modified: 04 Mar 2024 19:16 UTC
Resource URI: (The current URI for this page, for reference purposes)

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