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Bulletin of the American Physical Society

Compact wave function useful in educational physics

O. N. Yusupov

Published Apr 8, 2005• 0 citations
OpenAlex

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Pre-service physics teachers comprehension of wave function and operator concepts in quantum mechanics

Ouml, zguuml, r Ouml +1 more

This qualitative study investigates students’ comprehension of wave function and operator concepts. The data of the study were collected by semi-structured interviews with 34 pre-service physics teachers and analyzed by using the content analysis method. As a result of qualitative analysis, different categories were determined towards the students’ comprehension of wave function and operator concepts.  These results showed that (1) students did not have enough knowledge to define the concepts of wave function and operator properly, (2) they were influenced by the perspective of classical physics in making explanations related to the concepts of quantum mechanics, and (3) a great number of students who participated in the study made explanations by using examples frequently used in quantum mechanics. It is hoped that the results of this study will help the educators to recognize the students’ comprehensions in both modern physics and quantum mechanics courses.   Key words: Comprehension, modern physics, operator, physics education, quantum mechanics, wave function.

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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.

The Physics Teacher•Mar 21, 2015•13 citations
This qualitative study investigates students’ comprehension of wave function and operator concepts. The data of the study were collected by semi-structured interviews with 34 pre-service physics teachers and analyzed by using the content analysis method. As a result of qualitative analysis, different categories were determined towards the students’ comprehension of wave function and operator concepts.  These results showed that (1) students did not have enough knowledge to define the concepts of wave function and operator properly, (2) they were influenced by the perspective of classical physics in making explanations related to the concepts of quantum mechanics, and (3) a great number of students who participated in the study made explanations by using examples frequently used in quantum mechanics. It is hoped that the results of this study will help the educators to recognize the students’ comprehensions in both modern physics and quantum mechanics courses.   Key words: Comprehension, modern physics, operator, physics education, quantum mechanics, wave function.
This qualitative study investigates students’ knowledge of wave function and operator concepts.The data of the study were collected by semi-structured interviews with 34 pre-service physics teachers and analyzed by using the content analysis method. As a result of qualitative analysis, different categories were determined towards the students’ comprehension of wave function and operator concepts. These results showed that (1) students did not have enough knowledge to define the concepts of wave function and operator properly, (2) they were influenced by the perspective of classical physics in making explanations related to the concepts of quantum mechanics, and (3) a great number of students who participated in the study made explanations by using examples frequently used in quantum mechanics. It is hoped that the results of this study will help the educators to recognize the students’ comprehensions in both modern physics and quantum mechanics courses.
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.