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 -