On a certain inequality for the sum of norms and reverse uncertainty relations

We prove a simple inequality for a sum of squares of norms of two vectors in an inner product space. Next, using this inequality we derive the so--called "reverse uncertainty relation" and analyze its properties.

Publication Details

Journal
ArXiv.org
Published
2025-03-04
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
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article

On a certain inequality for the sum of norms and reverse uncertainty relations

ArXiv.org
Mathematical Analysis and Transform Methods
article

On a certain inequality for the sum of norms and reverse uncertainty relations

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Abstract

We prove a simple inequality for a sum of squares of norms of two vectors in an inner product space. Next, using this inequality we derive the so--called "reverse uncertainty relation" and analyze its properties.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 40%
Mathematical Analysis and Transform Methods
Open Access PDFOpenAlex
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On a certain inequality for the sum of norms and reverse uncertainty relations · ArXiv.org (2025) | TGRS Research Map | TGRS