Overall width, mean peak width and the uncertainty principle

J. Hilgevoord; Jos Uffink

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

Overall width, mean peak width and the uncertainty principle

J. Hilgevoord, Jos Uffink

Research output: Contribution to journal › Article › peer-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 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

Access

10.1016/0375-9601(83)90498-X

OpenUrl availability

Full text

Cite this

@article{fac05dc752a840df9ef9d5e54f11eb77,

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 Jos Uffink",

year = "1983",

month = may,

day = "30",

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

language = "English (US)",

volume = "95",

pages = "474--476",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier",

number = "9",

}

TY - JOUR

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

AU - Hilgevoord, J.

AU - Uffink, Jos

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 - http://www.scopus.com/inward/record.url?scp=0000326991&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000326991&partnerID=8YFLogxK

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

Abstract

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this