Overall width, mean peak width and the uncertainty principle

J. Hilgevoord, Jos Uffink

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We define the overall width W and the mean peak width w of a normalized function ψ (x). We show W ≤ 2Δx and w > (2Δp)-1, where Δx and Δp are standard deviations. Analogous relations hold for the Fourier transform. The uncertainty principle is expressed precisely by these relations, not by ΔxΔp ≥ 1 2.

Original languageEnglish (US)
Pages (from-to)474-476
Number of pages3
JournalPhysics Letters A
Volume95
Issue number9
DOIs
StatePublished - May 30 1983
Externally publishedYes

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