New Quantum Exchange collection resources
http://www.compadre.org/quantum/
The latest material additions to the Quantum Exchange.en-USCopyright 2015, ComPADRE.orgeditor@thequantumexchange.orgeditor@thequantumexchange.orgMon, 23 Mar 2015 21:48:46 ESThttp://blogs.law.harvard.edu/tech/rsshttp://www.compadre.org/portal/services/images/LogoSmallQuantum.gifQuantum Exchange
http://www.compadre.org/quantum/
12535Developing a quantum mechanics concept inventory
http://www.compadre.org/quantum/items/detail.cfm?ID=13413
This paper describes the process of writing a quantum mechanics concept inventory concerning one-dimensional potential barriers, tunneling and probability distributions. It also explores some of the related alternative conceptions, and presents the results of 216 inventory questionnaires distributed to four groups of students.
One main result is that the question context is important for the models used when answering. The survey results show the alternative conceptions of energy loss due to tunneling and the view of a probability density peak as an indivisible entity are quite common (about 40 and 30 percent of the students, respectively).Quantum Physics/Probability, Waves, and Interferencehttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=13413Mon, 23 Mar 2015 21:48:46 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=13413Physlets Quantum Physics
http://www.compadre.org/quantum/items/detail.cfm?ID=13362
Physlet Quantum Physics 2E contains a collection of exercises about concepts from modern and quantum physics, facilitated by computer animations. Topics include special relativity, quantum experiments, quantum theory, and applications. Chapters are divided into Illustrations, Explorations, and Problems.
Illustrations are designed to demonstrate physical concepts. They are suitable for reading assignments prior to class and classroom demonstrations. Explorations are tutorial in nature. They provide hints or suggest problem-solving strategies to students in working problems and are useful as Just-in-Time Teaching exercises. Problems are interactive versions of the kind of exercises typically assigned for homework. They require the students to demonstrate their understanding, such as in homework assignments.Quantum Physics/Generalhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=13362Sat, 15 Nov 2014 00:59:54 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=13362Tutorials in Physics: Quantum Mechanics
http://www.compadre.org/quantum/items/detail.cfm?ID=13267
This web site provides access to a set of student tutorials designed to supplement lectures and textbooks through in quantum mechanics. The tutorials are most suitable for courses in which there is an opportunity for students to work together in small groups; however, they can also be adapted for use in large, lecture hall settings. Carefully sequenced exercises and questions engage students in the type of active intellectual involvement that is necessary for developing a functional understanding of physics.
The website contains resources for instructors, including sample pretests, post-tests examination questions, suggestions for preparing Teaching Assistants, as well as details about the individual tutorials. Quantum Physics/Generalhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=13267Fri, 06 Jun 2014 17:07:58 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=13267SEI: Modern Physics Course Materials
http://www.compadre.org/quantum/items/detail.cfm?ID=4937
This website contains lectures, homework, exams, and other materials for a PER-based large lecture modern physics course for engineering majors. This course has redesigned content and learning techniques focused on topics more useful to engineering majors than a traditional modern physics course. The course emphasizes reasoning development, model building, and connections to real world applications. A variety of PER-based learning resources, including peer instruction, collaborative homework sessions, and interactive simulations, are used. Research results on learning outcomes from the course are included.Modern Physics/Generalhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=4937Thu, 05 Jun 2014 09:07:01 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=4937Exploring Student Understanding of Energy through the Quantum Mechanics Conceptual Survey
http://www.compadre.org/quantum/items/detail.cfm?ID=8916
We present a study of student understanding of energy in quantum mechanical tunneling and barrier penetration. This paper will focus on student responses to two questions that were part of a test given in class to two modern physics classes and in individual interviews with 17 students. The test, which we refer to as the Quantum Mechanics Conceptual Survey (QMCS), is being developed to measure student understanding of basic concepts in quantum mechanics. In this paper we explore and clarify the previously reported misconception that reflection from a barrier is due to particles having a range of energies rather than wave properties. We also confirm previous studies reporting the student misconception that energy is lost in tunneling, and report a misconception not previously reported, that potential energy diagrams shown in tunneling problems do not represent the potential energy of the particle itself. The present work is part of a much larger study of student understanding of quantum mechanics.Quantum Physics/Scattering and Continuum State Systems/Transmission and Reflectionhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=8916Wed, 09 Apr 2014 21:28:17 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=8916Photoelectric Effect Model
http://www.compadre.org/quantum/items/detail.cfm?ID=10272
The EJS Photoelectric Effect model simulates the Photoelectric effect discovered by Hertz in 1887 and described theoretically by Einstein in 1905. Light of a given frequency (energy) shines on a metal in a vacuum tube. If the energy of the photons is greater than the work function of the metal, W, electrons are ejected and can form a current in an external circuit. These photoelectrons will have a kinetic energy if the energy of the light is greater than the work function. If subjected to an electric potential between the plates in the tube, the electrons excited from the metal will be accelerated resulting in an increase, decrease, or stopping of the current. This model provides controls for the frequency of the light source and the external potential on the electron tube. An ammeter allows users to take data for the photo-current.
The EJS Photoelectric Effect model was created using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_qm_photoelectric.jar file will run the program if Java is installed.Quantum Physics/Quantum Experimentshttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=10272Wed, 09 Apr 2014 21:01:41 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=10272The Transactional Interpretation of Quantum Mechanics
http://www.compadre.org/quantum/items/detail.cfm?ID=1940
This article introduces the interpretation of the formalism of quantum mechanics, the Transactional Interpretation (TI) which addresses some issues raised by recent tests of Bell's inequalities. TI is non-local, relativistically invariant, and fully causal. A detailed comparison is made with the Copenhagen interpretation. Also, there is a link providing articles that have cited this one.Quantum Physics/Foundations and Measurementshttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=1940Fri, 08 Nov 2013 09:30:39 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=1940Interactive Learning Tutorials on Quantum Mechanics
http://www.compadre.org/quantum/items/detail.cfm?ID=12945
We discuss the development and evaluation of quantum interactive learning tutorials (QuILTs), which are suitable for undergraduate courses in quantum mechanics. QuILTs are based on the investigation of student difficulties in learning quantum physics. They exploit computer-based visualization tools and help students build links between the formal and conceptual aspects of quantum physics without compromising the technical content. They can be used both as supplements to lectures or as self-study tools.Quantum Physics/Generalhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=12945Thu, 31 Oct 2013 17:20:04 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=12945Improving student understanding of addition of angular momentum in quantum mechanics
http://www.compadre.org/quantum/items/detail.cfm?ID=12635
We describe the difficulties advanced undergraduate and graduate students have with concepts related to addition of angular momentum in quantum mechanics. We also describe the development and implementation of a research-based learning tool, Quantum Interactive Learning Tutorial (QuILT), to reduce these difficulties. The preliminary evaluation shows that the QuILT related to the basics of the addition of angular momentum is helpful in improving students’ understanding of these concepts.Quantum Physics/Symmetries in Quantum Mechanicshttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=12635Tue, 18 Jun 2013 22:28:14 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=12635EPR/Bell's Theorem
http://www.compadre.org/quantum/items/detail.cfm?ID=12016
This is a simulation of the simplified EPR-like experiment described by David Mermin's 1981 AJP Article (N. D. Mermin, "Bringing home the atomic world: Quantum mysteries for anybody," Am. J. Phys. 49, 940-943(1981)). The program has internal documentation.Quantum Physics/Entanglement and Quantum Informationhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=12016Tue, 18 Jun 2013 22:23:02 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=12016Improving Students' Understanding of Quantum Mechanics
http://www.compadre.org/quantum/items/detail.cfm?ID=11306
Learning physics is challenging at all levels. Students’ difficulties in the introductory level physics courses have been widely studied and many instructional strategies have been developed to help students learn introductory physics. However, research shows that there is a large diversity in students’ preparation and skills in the upper-level physics courses and it is necessary to provide scaffolding support to help students learn advanced physics. This thesis explores issues related to students’ common difficulties in learning upper-level undergraduate quantum mechanics and how these difficulties can be reduced by research-based learning tutorials and peer instruction tools. We investigated students’ difficulties in learning quantum mechanics by administering written tests and surveys to many classes and conducting individual interviews with a subset of students. Based on these investigations, we developed Quantum Interactive Learning Tutorials (QuILTs) and peer instruction tools to help students build a hierarchical knowledge structure of quantum mechanics through a guided approach. Preliminary assessments indicate that students’ understanding of quantum mechanics is improved after using the research-based learning tools in the junior-senior level quantum mechanics courses. We also designed a standardized conceptual survey that can help instructors better probe students’ understanding of quantum mechanics concepts in one spatial dimension. The validity and reliability of this quantum mechanics survey is discussed.Education Practices/Instructional Material Design/Tutorialhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=11306Wed, 20 Feb 2013 18:44:05 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=11306Numerical Solutions to the Schrödinger Equation
http://www.compadre.org/quantum/items/detail.cfm?ID=8566
This Mathematica Notebook provides in introduction to computational methods for studying quantum mechanical systems. Examples given are one dimensional. Studying quantum mechanics in one-dimension allows the student to learn the basics of quantum mechanics and to develop an intuition without some of the mathematical complexities present in three-dimensions.Quantum Physics/Approximation Techniqueshttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=8566Wed, 20 Feb 2013 18:35:09 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=8566Improving students’ understanding of quantum measurement. I. Investigation of difficulties
http://www.compadre.org/quantum/items/detail.cfm?ID=11909
We describe the difficulties that advanced undergraduate and graduate students have with quantum measurement within the standard interpretation of quantum mechanics. We explore the possible origins of these difficulties by analyzing student responses to questions from both surveys and interviews. Results from this research are applied to develop research-based learning tutorials to improve students’ understanding of quantum measurement.Quantum Physics/Foundations and Measurementshttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=11909Wed, 20 Feb 2013 18:25:14 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=11909Improving students’ understanding of quantum measurement. II. Development of research-based learning tools
http://www.compadre.org/quantum/items/detail.cfm?ID=11910
We describe the development and implementation of research-based learning tools such as the Quantum Interactive Learning Tutorials and peer-instruction tools to reduce students’ common difficulties with issues related to measurement in quantum mechanics. A preliminary evaluation shows that these learning tools are effective in improving students' understanding of concepts related to quantum measurement.Quantum Physics/Foundations and Measurementshttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=11910Wed, 20 Feb 2013 18:24:35 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=11910Categorization of quantum mechanics problems by professors and students
http://www.compadre.org/quantum/items/detail.cfm?ID=12232
We discuss the categorization of 20 quantum mechanics problems by physics professors and undergraduate students from two honours-level quantum mechanics courses. Professors and students were asked to categorize the problems based upon similarity of solution. We also had individual discussions with professors who categorized the problems. Faculty members' categorizations were overall rated higher than those of students by three faculty members who evaluated all of the categorizations. The categories created by faculty members were more diverse compared to the categories they created for a set of introductory mechanics problems. Some faculty members noted that the categorization of introductory physics problems often involves identifying fundamental principles relevant for the problem, whereas in upper-level undergraduate quantum mechanics problems, it mainly involves identifying concepts and procedures required to solve the problem. Moreover, physics faculty members who evaluated others' categorizations expressed that the task was very challenging and they sometimes found another person's categorization to be better than their own. They also rated some concrete categories such as 'hydrogen atom' or 'simple harmonic oscillator' higher than other concrete categories such as 'infinite square well' or 'free particle'.Quantum Physics/Generalhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=12232Tue, 23 Oct 2012 08:08:19 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=12232Quantum Mechanics Survey (QMS)
http://www.compadre.org/quantum/items/detail.cfm?ID=11903
This 31-question research-based multiple-choice test is designed to evaluate students’ conceptual understanding of quantum mechanics in junior-level courses.
The survey is based on investigations of students’ difficulties in quantum mechanics and should be given in a 50-minute period. Statistical results have shown the survey to be reliable and valid. A summary of the construction and analysis of the survey is available in <em>Surveying students’ understanding of quantum mechanics in one spatial dimension</em>, Am. J. Phys. <b>80</b> (3), 252-259.
This assessment is free for use by instructors in their classroom. As it takes years of development effort to create and validate reliable assessment instruments, access is restricted to instructors and researchers.Quantum Physics/Generalhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=11903Tue, 23 Oct 2012 08:06:44 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=11903Improving Students' Understanding of Quantum Mechanics
http://www.compadre.org/quantum/items/detail.cfm?ID=7494
Richard Feynman once famously stated that nobody understands quantum mechanics. He was, of course, referring to the many strange, unintuitive foundational aspects of quantum theory such as its inherent indeterminism and state reduction during measurement according to the Copenhagen interpretation. But despite its underlying fundamental mysteries, the theory has remained a cornerstone of modern physics. Most physicists, as students, are introduced to quantum mechanics in a modern-physics course, take quantum mechanics as advanced undergraduates, and then take it again in their first year of graduate school. One might think that after all this instruction, students would have become certified quantum mechanics, able to solve the Schrödinger equation, manipulate Dirac bras and kets, calculate expectation values, and, most importantly, interpret their results in terms of real or thought experiments. That sort of functional understanding of quantum mechanics is quite distinct from the foundational issues alluded to by Feynman.Education Practices/Instructional Material Designhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=7494Tue, 23 Oct 2012 08:04:02 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=7494Perspectives in Quantum Physics: Epistemological, Ontological and Pedagogical
http://www.compadre.org/quantum/items/detail.cfm?ID=11301
A common learning goal for modern physics instructors is for students to recognize a difference between the experimental uncertainty of classical physics and the fundamental uncertainty of quantum mechanics. Our studies suggest this notoriously difficult task may be frustrated by the intuitively realist perspectives of introductory students, and a lack of ontological flexibility in their conceptions of light and matter. We have developed a framework for understanding and characterizing student perspectives on the physical interpretation of quantum mechanics, and demonstrate the differential impact on student thinking of the myriad ways instructors approach interpretive themes in their introductory courses. Like expert physicists, students interpret quantum phenomena differently, and these interpretations are significantly influenced by their overall stances on questions central to the so-called measurement problem: Is the wave function physically real, or simply a mathematical tool? Is the collapse of the wave function an ad hoc rule, or a physical transition not described by any equation? Does an electron, being a form of matter, exist as a localized particle at all times? These questions, which are of personal and academic interest to our students, are largely only superficially addressed in our introductory courses, often for fear of opening a Pandora’s Box of student questions, none of which have easy answers. We show how a transformed modern physics curriculum (recently implemented at the University of Colorado) may positively impact student perspectives on indeterminacy and wave-particle duality, by making questions of classical and quantum reality a central theme of our course, but also by making the beliefs of our students, and not just those of scientists, an explicit topic of discussion.Quantum Physics/Foundations and Measurementshttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=11301Tue, 29 May 2012 11:03:07 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=11301QuVis: Non-interacting Particles in an Infinite Well
http://www.compadre.org/quantum/items/detail.cfm?ID=11667
This animation shows a system of N non-interacting Bose or Fermi particles in an infinitely deep square well. The total involves the distribution of the individual particles across energy levels. Users can choose the type and number of particles in the well and the total energy of the system. This animation includes a step-by-step exploration that explains key points in detail.
This animation is part of a collection of animations for the teaching of concepts in quantum mechanics.Quantum Physics/Multi-particle Systemshttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=11667Wed, 18 Jan 2012 10:13:12 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=11667Assessing and improving student understanding of quantum mechanics
http://www.compadre.org/quantum/items/detail.cfm?ID=8917
We developed a survey to probe student understanding of quantum mechanics concepts at the beginning of graduate instruction. The survey was administered to 202 graduate students in physics enrolled in first-year quantum mechanics courses from seven different universities at the beginning of the first semester. We also conducted one-on-one interviews with fifteen graduate students or advanced undergraduate students who had just finished a course in which all the content on the survey was covered. We find that students share universal difficulties about fundamental quantum mechanics concepts. The difficulties are often due to over-generalization of concepts learned in one context to other contexts where they are not directly applicable and difficulty in making sense of the abstract quantitative formalism of quantum mechanics. Instructional strategies that focus on improving student understanding of these concepts should take into account these difficulties. The results from this study can sensitize instructors of first-year graduate quantum physics to the conceptual difficulties students are likely to face.Quantum Physics/Generalhttp://www.compadre.org/quantum/bulletinboard/Thread.cfm?ID=8917Fri, 18 Nov 2011 09:38:59 ESThttp://www.compadre.org/quantum/items/detail.cfm?ID=8917