paper

Single-slit diffraction and the Heisenberg principle for position and momentum

arXiv:0812.4775

Abstract

Monochromatic light is prepared by a single slit of spatial width Δx. The diffraction pattern is considered to obtain the corresponding probability density of the momentum. Let P be the probability weight to measure a momentum in a finite window of width Δp. For small Δp the asymptotic law P ~ ΔxΔp/h is verified, while h is Planck's constant of action.

3 pages, 3 figures, references added, measurement setup impoved, content unchanged