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College Physics

Computer simulation of double-slit electron diffraction

Huaijun Wang

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Based on the intensity distributing function,we simulate the double-slit electron diffraction by using the visual Basic program.The electron diffraction pattern is vividly reconstructed in the simulation,and electrons can appear on the screen one by one by controlling the generation speed of electron.This simulation helps one to understand the probability property of electron wave.The program is simple and easy to learn,which is convenient for further development.

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Based on the intensity distributing function,we simulate the double-slit electron diffraction by using the visual Basic program.The electron diffraction pattern is vividly reconstructed in the simulation,and electrons can appear on the screen one by one by controlling the generation speed of electron.This simulation helps one to understand the probability property of electron wave.The program is simple and easy to learn,which is convenient for further development.
According to the intensity distribution function of Young two-sit interference and diffraction,and the theory of De Broglie matter wave,the program selects the electrons in the way of Monte Carlo's acceptance-rejection sampling to show on the picture box in the Visual Basic program,resulting in the sima lation of two-sit interference and diffraction of electrons in the Visual Basic environment.It is helpful in teaching for students to vividly understand the wave-particle duality and probability wave.
The mainstream quantum mechanics uses “probability wave superposition and single-electron self-interference” to explain electron single-slit and double-slit diffraction. This theory deviates from the essential nature of real particle interactions and has fundamental logical flaws. The electron is a negatively charged real particle with a definite physical size and high-frequency transverse oscillation; a single real particle has no physical basis for self-interference. Abandoning the abstract probability wave hypothesis, this paper establishes a complete real-interaction model including electrostatic repulsion deflection, surface electron exchange, collision scattering, microscopic refraction, and barrier diffraction, based on the three-dimensional random transverse oscillation and charge repulsion of electrons. The model uniformly explains the real formation mechanism of electron single-slit diffraction and double-slit interference fringes. This paper proves that in single-electron sequential emission, each electron passes through only one slit; all bright and dark fringes are the statistical result of multiple microscopic interactions between electrons and slit walls or the central barrier. The disappearance of fringes under observation is caused by external disturbance to the inherent oscillation and wall-interaction equilibrium, not by wave function collapse. This paper further clarifies that whether an electron can pass through a slit is determined by its transverse oscillation amplitude, not by wavelength. Amplitude directly corresponds to slit width and is the core controlling variable of diffraction. Meanwhile, if no slit is placed, electrons flying directly to the screen produce no diffraction or interference fringes, proving that electrons themselves have no self-interference ability. Fringes are generated by slit structures, not by intrinsic wave interference of electrons. This study corrects the century-long misunderstanding of electron diffraction and establishes a new microscopic diffraction mechanism consistent with classical real-particle physics.
Double-slit diffraction is a corner stone of quantum mechanics. It illustrates key features of quantum mechanics: interference and the particle-wave duality of matter. In 1965, Richard Feynman presented a thought experiment to show these features. Here we demonstrate the full realization of his famous thought experiment. By placing a movable mask in front of a double-slit to control the transmission through the individual slits, probability distributions for single- and double-slit arrangements were observed. Also, by recording single electron detection events diffracting through a double-slit, a diffraction pattern was built up from individual events.
Double-slit diffraction is a corner stone of quantum mechanics. It illustrates key features of quantum mechanics: interference and the particle-wave duality of matter. In 1965, Richard Feynman presented a thought experiment to show these features. Here we demonstrate the full realization of his famous thought experiment. By placing a movable mask in front of a double-slit to control the transmission through the individual slits, probability distributions for single- and double-slit arrangements were observed. Also, by recording single electron detection events diffracting through a double-slit, a diffraction pattern was built up from individual events.
Considering double-slit interference as an optical wave passing a through double-slit hard aperture, the intensity expression of Young's double-slit interference is derived based on Collins diffraction integral. The intensity distribution of Young's double-slit interference is graphically demonstrated. The interference fringes will be changes by adjusting the parameter of slit width, double-slit separation, incident wavelength, etc. Meanwhile, the causes for the different brightness at bright fringe center in Young's double-slit interference are discussed. Additionally, the interference fringe width is calculated. The result agrees well with optical interference theory. As an expanding teach method, it will be helpful to understand the double-slit interference characteristics.