Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Southwest China Normal University

The Quantum Mechanics Description of Single-Silt Diffraction and the Uncertainty Relation

Yang Wang

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

Following Marcella's quantum mechanics description of the single-slit diffraction,the coordinate-space and momentum-space wave functions for an electron passing through the single-slit are derived,and then,the uncertainties of the position and momentum are reconsidered.

Related papers

Single-Slit Diffraction and the Uncertainty Principle

Frank Rioux

This short article emphasizes that a consideration of diffraction phenomena is an excellent way to illustrate the uncertainty principle. Or, it could also be claimed that diffraction has a simple quantum mechanical interpretation based on the uncertainty principle and the Fourier transform between position and momentum space.

Journal of Chemical Education•Aug 1, 2005•6 citations

The position-momentum uncertainty relation of electron diffraction

Yang Jie

By solving the Schrdinger equation and using Fourier transform,the two-dimensional electron wave function is derived,and some issues concerning with the position-momentum uncertainty relation are discussed.

College Physics•Jan 1, 2012•0 citations

Intensity Distribution of Single Slit Electron Diffraction

HE Jia-zhong

The state of electron is described by wave function. Intensity distribution of single slit electron diffraction is derived by probability distribution of electron momentum.

Journal of Shaoguan University•Jan 1, 2000•0 citations

10 “Quantum Interference with Slits ” Revisited

Tony Rothman, S. P. Boughn

Marcella has presented a straightforward technique employing the Dirac formalism to calculate single-and double-slit interference patterns.He claims that no reference is made to classical optics or scattering theory and that his method therefore provides a purely quantum mechanical description of these experiments.He also presents his calculation as if no approximations are employed.We show that he implicitly makes the same approximations found in classical treatments of interference and that no new physics has been introduced.At the same time, some of the quantum mechanical arguments Marcella gives are, at best, misleading.

•Jan 1, 2010•6 citations

Interference and diffraction

P A Davidson

Abstract In Chapter 21, we turn to interference and diffraction. We start by describing the interference pattern in Young’s classic two-slit experiment, whose analysis is subsequently generalised to determine the interference pattern behind a multi-slit grating. The diffraction pattern for a single slit is then estimated using Huygens’ principle, and this is combined with the interference pattern for a multi-slit grating to get the entire wave pattern generated by a diffraction grating. Next, we turn to the diffraction of electrons. This starts with a brief introduction to quantum mechanics, focussed on Schrodinger’s wave equation, de Broglie waves, and the collapse of the wavefunction following measurements. Finally, we use these elementary quantum concepts to describe the diffraction of electrons.

•Dec 23, 2025•0 citations

On "Quantum interference with slits" and its "revisited"

J. C. Ye, Y. Li, Q. Chen +2 more

Marcella in 2002 published a "quantum-mechanical" treatment of the famous single- and double-slit interference experiment in classical wave optics by a simple assumption that quantum mechanical wave function is a constant anywhere within a slit. Rothman and Boughn in 2011 commented that Marcella introduced no quantum physics into the problem other than\ a symbol substitution $p=\hbar k$, and the used essentially the classical wave optics. In present comment, we point out that though Marcella made a fundamental mistake, the problem is nevertheless remediable to give the satisfactory quantum mechanical results which are in qualitatively agreement with experimental ones with material particles.

arXiv:1902.00015•Jan 31, 2019•0 citations
Marcella has presented a straightforward technique employing the Dirac formalism to calculate single-and double-slit interference patterns.He claims that no reference is made to classical optics or scattering theory and that his method therefore provides a purely quantum mechanical description of these experiments.He also presents his calculation as if no approximations are employed.We show that he implicitly makes the same approximations found in classical treatments of interference and that no new physics has been introduced.At the same time, some of the quantum mechanical arguments Marcella gives are, at best, misleading.
Abstract In Chapter 21, we turn to interference and diffraction. We start by describing the interference pattern in Young’s classic two-slit experiment, whose analysis is subsequently generalised to determine the interference pattern behind a multi-slit grating. The diffraction pattern for a single slit is then estimated using Huygens’ principle, and this is combined with the interference pattern for a multi-slit grating to get the entire wave pattern generated by a diffraction grating. Next, we turn to the diffraction of electrons. This starts with a brief introduction to quantum mechanics, focussed on Schrodinger’s wave equation, de Broglie waves, and the collapse of the wavefunction following measurements. Finally, we use these elementary quantum concepts to describe the diffraction of electrons.
Marcella in 2002 published a "quantum-mechanical" treatment of the famous single- and double-slit interference experiment in classical wave optics by a simple assumption that quantum mechanical wave function is a constant anywhere within a slit. Rothman and Boughn in 2011 commented that Marcella introduced no quantum physics into the problem other than\ a symbol substitution p=ℏkp=\hbar kp=ℏk, and the used essentially the classical wave optics. In present comment, we point out that though Marcella made a fundamental mistake, the problem is nevertheless remediable to give the satisfactory quantum mechanical results which are in qualitatively agreement with experimental ones with material particles.