Overall width, mean peak width and the uncertainty principle

J. Hilgevoord; J. B.M. Uffink

doi:10.1016/0375-9601(83)90498-X

Overall width, mean peak width and the uncertainty principle

J. Hilgevoord
, J. B.M. Uffink

Research output: Contribution to journal › Article › peer-review

26 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 language	English (US)
Pages (from-to)	474-476
Number of pages	3
Journal	Physics Letters A
Volume	95
Issue number	9
DOIs	https://doi.org/10.1016/0375-9601(83)90498-X
State	Published - May 30 1983
Externally published	Yes

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title = "Overall width, mean peak width and the uncertainty principle",

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.",

author = "J. Hilgevoord and Uffink, \{J. B.M.\}",

year = "1983",

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doi = "10.1016/0375-9601(83)90498-X",

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T1 - Overall width, mean peak width and the uncertainty principle

AU - Hilgevoord, J.

AU - Uffink, J. B.M.

PY - 1983/5/30

Y1 - 1983/5/30

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0000326991

UR - https://www.scopus.com/pages/publications/0000326991#tab=citedBy

U2 - 10.1016/0375-9601(83)90498-X

DO - 10.1016/0375-9601(83)90498-X

M3 - Article

AN - SCOPUS:0000326991

SN - 0375-9601

VL - 95

SP - 474

EP - 476

JO - Physics Letters A

JF - Physics Letters A

IS - 9

ER -

Overall width, mean peak width and the uncertainty principle

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