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

URN to cite this document:: urn:nbn:de:bvb:355-epub-528871
DOI to cite this document:: 10.5283/epub.52887

Finster, Felix

; Paganini, Claudio F.

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 20 Sep 2022 05:36

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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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