Single-slit diffraction and the Heisenberg principle for position and momentum
Quantum Physics
2010-12-30 v4
Abstract
Monochromatic light is prepared by a single slit of spatial width {\Delta}x. 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 {\Delta}p. For small {\Delta}p the asymptotic law P ~ {\Delta}x{\Delta}p/h is verified, while h is Planck's constant of action.
Cite
@article{arxiv.0812.4775,
title = {Single-slit diffraction and the Heisenberg principle for position and momentum},
author = {W. Görlich and I. Hoffmann and T. Schürmann},
journal= {arXiv preprint arXiv:0812.4775},
year = {2010}
}
Comments
3 pages, 3 figures, references added, measurement setup impoved, content unchanged