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)
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| Official URL: https://doi.org/10.1088/1751-8121/ab7d5f |
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Abstract
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 |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Physics and Astronomy |
| Former Institutional Unit: |
Divisions > Division of Natural Sciences > Physics and Astronomy
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| Depositing User: | Paul Strange |
| Date Deposited: | 30 Mar 2020 15:14 UTC |
| Last Modified: | 20 May 2025 09:46 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/80659 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Strange, Paul.
| Creator's ORCID: |
 https://orcid.org/0000-0001-5818-8032
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