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College Physics

On the teaching of uncertainty principle in university physics

LI Tang-ning

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

The Heisenberg uncertainty principle is one of the foundations of quantum mechanics,although meaning of this principle is disputed in the region of physics.The teaching of this principle should help students to discard the conventional conception of orbit and estab lish the idea of wave-particle duality.However,the conventional conception of orbit is still used in many domestic textbooks of university physics.The stude nts tend to be confused consequently.Therefore,tens of textbooks of university physics are investigated and different accounts about uncertainty principle are compared,and then advice of teaching on this principle is brought forward.

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College Physics•Jan 1, 2011•0 citations
The Heisenberg uncertainty principle is one of the foundations of quantum mechanics,although meaning of this principle is disputed in the region of physics.The teaching of this principle should help students to discard the conventional conception of orbit and estab lish the idea of wave-particle duality.However,the conventional conception of orbit is still used in many domestic textbooks of university physics.The stude nts tend to be confused consequently.Therefore,tens of textbooks of university physics are investigated and different accounts about uncertainty principle are compared,and then advice of teaching on this principle is brought forward.
The principle of uncertainty is one of the essential principles of quantum mechanics as it outlines that there is a reflective limit to the measurement of microscopic particle motion. However it is impossible to measure at once and accurately both the position and momentum data of any microscopic particle no matter what means are used to do so. This paper starts by discussing the notion and mathematical derivation of the uncertainty principle as put forth by Heisenberg explaining the physical relevance of the principle. It introduces the natural uncertainty the principle introduces to the dynamics of particles in the microscopic world, and the significant part it plays in the theory of quantum mechanics. The article overviews the explanations of the principle on phenomena including atomic stability and scanning tunneling microscopes, and the interference of measurement actions on the states of particles and the shortcomings of measurement precision. According to the wave-particle duality of quantum mechanics, this article gives a required theoretical basis of microscopic phenomena. Likewise, the use of the research theory on the uncertainty principle by distinguished scholars in the physics fraternity helps the readers in achieving the knowledge in related subjects more easily.
Quantum mechanics is often thought to be a difficult subject to understand, not only in the complexity of its mathematics but also in its conceptual foundation. In this paper we emphasize students' depictions of the uncertainty principle and wave-particle duality of quantum events, phenomena that could serve as a foundation in building an understanding of quantum mechanics. A phenomenographic study was carried out to categorize a picture of students' descriptions of these key quantum concepts. Data for this study were obtained from a semistructured in-depth interview conducted with undergraduate physics students (N=25N=25N=25) from Bahir Dar, Ethiopia. The phenomenographic data analysis revealed that it is possible to construct three qualitatively different categories to map students' depictions of the concept wave-particle duality, namely, (1) classical description, (2) mixed classical-quantum description, and (3) quasiquantum description. Similarly, it is proposed that students' depictions of the concept uncertainty can be described with four different categories of description, which are (1) uncertainty as an extrinsic property of measurement, (2) uncertainty principle as measurement error or uncertainty, (3) uncertainty as measurement disturbance, and (4) uncertainty as a quantum mechanics uncertainty principle. Overall, we found students are more likely to prefer a classical picture of interpretations of quantum mechanics. However, few students in the quasiquantum category applied typical wave phenomena such as interference and diffraction that cannot be explained within the framework classical physics for depicting the wavelike properties of quantum entities. Despite inhospitable conceptions of the uncertainty principle and wave- and particlelike properties of quantum entities in our investigation, the findings presented in this paper are highly consistent with those reported in previous studies. New findings and some implications for instruction and the curricula are discussed.
Most physics books do not reveal clearly how the Heisenberg uncertainty principle was derived. This uncertainty comes from the consequence of the wave-particle duality of matter giving statement that position and momentum cannot be measured in the same time. This article tries to reveal mathematics background behind the expression the Heisenberg uncertainty using supported mathematics background such as Fourier transform, Fourier transform integral, the probability of Gaussian distribution and it ends up with the expression of wave function which describe the localized particle giving relation Heisenberg uncertainty principle.
Abstract Concept of wave packet is one of the most relevant topic of quantum mechanics but teaching it in an abstract way does not enhance the learning of students. On the other hand visualizations make such topics very easy in classroom learning. To capture the attention of students in classroom teaching, a unique way to simulate the wave packet associated with a localized particle is presented in this paper. This work describes an easy method to generate data for tracing a wave packet by organising an excel spreadsheet. This method is simple and aids the understanding wave packet modulation with variation in range of wave vectors of constituents matter waves. The obtained uncertainty product in position and momentum of the particle can be further utilized to verify Heisenberg’s uncertainty principle.
In this talk,I shall give a brief report on my teaching of quantum mechanics to junior physics major undergraduate students at Peking University.In order to make it easier for the students to understand the basic ideas and principles of quantum mechanics,I represented the subject by following closely its historical development.More precisely,I explained the achievements of these pioneers,such as N.Bohr,W.Heisenberg,P.Dirac and E.Schrdinger in details.As shown by my own experience, this approach is quite effective.Moreover,I find also that it is very helpful on preaching quantum mechanics to undergraduate students if some parables are properly used in lecture