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College Physics

The visual experiment display in quantum mechanics by MATLAB

Wenying Xu

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

Quantum mechanism is a more Abstract science.In order to display some principles and experimental results in quantum mechanics with a more intuitive way,the MATLAB software is used to build a visual platform for quantum mechanics,which can vividly demonstrate double-slit electron diffraction,quantum tunneling effects,the hydrogen atoms electron cloud and the Stark effect and so on.When the related physical parameters are inputted,the corresponding physical phenomena will display on the platform,which allow the students to obtain a more direct learning experience in study.

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Quantum mechanism is a more Abstract science.In order to display some principles and experimental results in quantum mechanics with a more intuitive way,the MATLAB software is used to build a visual platform for quantum mechanics,which can vividly demonstrate double-slit electron diffraction,quantum tunneling effects,the hydrogen atoms electron cloud and the Stark effect and so on.When the related physical parameters are inputted,the corresponding physical phenomena will display on the platform,which allow the students to obtain a more direct learning experience in study.
Abstract Quantum mechanics, the cornerstone of modern physics, is often perceived as abstract and complex, particularly by beginners, with regard to the wave-particle duality of microscopic particles. Traditional teaching methods often fail to foster an intuitive understanding of these concepts among students. Consequently, the search for more effective, interactive teaching tools has become a priority for educators. Our objective is to demystify complex quantum mechanical concepts, spark students’ interest in learning, and deepen their understanding, ultimately improving teaching effectiveness. In our research, we used LabVIEW software to develop a visual display and interactive simulation for double-slit interference and circular aperture diffraction experiments of electrons. This module allows students to simulate these experiments and adjust parameters, providing an intuitive observation of quantum behavior under various conditions. The results indicate that using the LabVIEW multimedia module significantly enhances students’ comprehension and interest in quantum mechanics, particularly with respect to wave-particle duality. We also employed the Feynman path integral idea to explain some of the simulation phenomena. This LabVIEW-based simulation not only renders abstract concepts more tangible and visual but also fosters active learning and experimental investigation. We posit that this study introduces a novel and valuable tool for teaching quantum mechanics and provides insights for the future of quantum mechanics education.
Quantum mechanics has fundamentally changed the way scientists think about the world. Quantum mechanical theory has found it's way into our everyday lives through advances in technology. In this dissertation a fundamental quantum mechanical demonstration and the technological development of a new quantum mechanical device are presented. 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. Here we demonstrate the full realization of Richard Feynman's famous thought experiment. By placing a movable mask in front of a double-slit to control the transmission through the individuals slits. Probability distributions for single- and double-slit arrangements were observed. Additionally, by recording single electron detection events diffracting through a double-slit,a diffraction pattern was built up from individual events. Additionally, a demonstration of a three grating Talbot-Lau interferometer for electrons is presented. As a proof of principle the interferometer is used to measure magnetic fields. The possibility to extend this work to build a scaled-up electron interferometer for sensitive magnetic field sensing is discussed. A theoretical model is presented to simulate the two experiments. This model is developed from Richard Feynman's path integral formalism, where a wave function is propagated through the elements of the system. The theoretical simulations reproduce the experimental data well, except for a large discrepancy of a factor of 5.5 between the experimental and theoretical sensitivity of the Talbot-Lau interferometer. The origin of the discrepancy is currently unknown. These experiments were built off of previous work done here at the University of Nebraska-Lincoln, and improvements to the preexisting system are discussed. While these experiments likely did not demonstrate anything contrary to conventional quantum mechanics, it is important to continually probe these types of experiments to test the fundamental principles of quantum mechanics and explore it's technical applications. Advisor: Herman Batelaan
We have developed an app for iOS-based smart-phones/tablets that allows a 3-D, complex phase-based colorful visualization of hydrogen atom wave functions. Several important features of the quantum behavior of atomic orbitals can easily be made evident, thus making this app a useful companion in introductory modern physics classes. There are many reasons why quantum mechanical systems and phenomena are difficult both to teach and deeply understand. They are described by equations that are generally hard to visualize, and they often oppose the so-called “common sense” based on the human perception of the world, which is built on mental images such as locality and causality. Moreover students cannot have direct experience of those systems and solutions, and generally do not even have the possibility to refer to pictures, videos, or experiments to fill this gap. Teachers often encounter quite serious troubles in finding out a sensible way to speak about the wonders of quantum physics at the high school level, where complex formalisms are not accessible at all. One should however consider that this is quite a common issue in physics and, more generally, in science education. There are plenty of natural phenomena whose models (not only at microscopic and atomic levels) are of difficult, if not impossible, visualization. Just think of certain kinds of waves, fields of forces, velocities, energy, angular momentum, and so on. One should also notice that physical reality is not the same as the images we make of it. Pictures (formal, abstract ones, as well as artists' views) are a convenient bridge between these two aspects.