Feynman path integral approach to electron diffraction for one and two slits: analytical results

Beau, Mathieu (2012) Feynman path integral approach to electron diffraction for one and two slits: analytical results. European Journal of Physics, 33 (5). pp. 1023-1039. ISSN 0143-0807

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Official URL: http://doi.org/10.1088/0143-0807/33/5/1023

Abstract

In this article we present an analytic solution of the famous problem of diffraction and interference of electrons through one and two slits (for simplicity, only the one-dimensional case is considered). In addition to exact formulas, we exhibit various approximations of the electron distribution which facilitate the interpretation of the results. Our derivation is based on the Feynman path integral formula and this work could therefore also serve as an interesting pedagogical introduction to Feynman’s formulation of quantum mechanics for university students dealing with the foundations of quantum mechanics.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:25
Last Modified: 18 Dec 2022 03:34
URI: https://dair.dias.ie/id/eprint/271

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