Superoscillations and the Klein–Gordon equation via the Fourier method

We investigate the time-evolution problem associated with the Klein–Gordon equation, using superoscillations as initial data. Additionally, the Segal–Bargmann transform is used to derive integral representations of the resulting solutions.

Authors

Kamal Diki (ORCID: https://orcid.org/0000-0002-4359-7535)
Simon Verbruggen (ORCID: https://orcid.org/0009-0001-4712-222X)

Institutions

Ghent University (BE)

Publication Details

Journal: Journal of Mathematical Physics
Published: 2025-12-01
DOI: https://doi.org/10.1063/5.0301401
Primary Topic: Quantum Mechanics and Non-Hermitian Physics
Type: article
Field-Weighted Citation Impact: 0.00

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article

Superoscillations and the Klein–Gordon equation via the Fourier method

Kamal Diki, Simon Verbruggen

Dec 1, 2025

Journal of Mathematical Physics

Quantum Mechanics and Non-Hermitian Physics

article

Superoscillations and the Klein–Gordon equation via the Fourier method

Kamal Diki, Simon Verbruggen

December 1, 2025article en

Abstract

Journal of Mathematical PhysicsVol. 66(12)

Ghent University (BE)

Openalex Percentile: Top 67%

Quantum Mechanics and Non-Hermitian Physics

DOI Source OpenAlex

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Superoscillations and the Klein–Gordon equation via the Fourier method — Kamal Diki, Simon Verbruggen · Journal of Mathematical Physics (2025) | TGRS Research Map | TGRS