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.

Publication Details

Journal
ArXiv.org
Published
2025-10-12
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
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article

Superoscillations and the Klein-Gordon equation via the Fourier method

ArXiv.org
Quantum Mechanics and Non-Hermitian Physics
article

Superoscillations and the Klein-Gordon equation via the Fourier method

article en

Abstract

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.

ArXiv.org
Openalex Percentile: Top 45%
Quantum Mechanics and Non-Hermitian Physics
Open Access PDFOpenAlex
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Superoscillations and the Klein-Gordon equation via the Fourier method · ArXiv.org (2025) | TGRS Research Map | TGRS