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  Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem

Finster, F., & Paganini, C. (2022). Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem. Annales Henri Poincare, 2022. doi:10.1007/s00023-022-01215-8.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000B-2D1F-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000B-3629-B
Genre: Journal Article

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 Creators:
Finster, Felix, Author
Paganini, Claudio1, Author           
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematical Physics, math-ph,Mathematics, Analysis of PDEs, math.AP,Mathematics, Mathematical Physics, math.MP
 Abstract: We prove quantitative versions of the following statement: If a solution of
the 1+1-dimensional wave equation has spatially compact support and consists
mainly of positive frequencies, then it must have a significant high-frequency
component. Similar results are proven for the 3+1-dimensional wave equation.

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 Dates: 2020-05-202022-06-142022
 Publication Status: Published online
 Pages: 49 pages, LaTeX, 2 figures, many small improvements, references added (published version)
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 2005.10120
DOI: 10.1007/s00023-022-01215-8
 Degree: -

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Title: Annales Henri Poincare
Source Genre: Journal
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Publ. Info: Basel : Birkha.user
Pages: - Volume / Issue: 2022 Sequence Number: - Start / End Page: - Identifier: ISSN: 1424-0637
CoNE: https://pure.mpg.de/cone/journals/resource/954925494977_2