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.

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

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

M3 - Article

AN - SCOPUS:0000326991

VL - 95

SP - 474

EP - 476

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 9

ER -