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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…

Physics Education · Physics 2016-04-05 Guangtian Zhu , Chandralekha Singh

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…

Physics Education · Physics 2016-03-11 Chandralekha Singh

Engaging students with well-designed clicker questions is one of the commonly used research-based instructional strategy in physics courses partly because it has a relatively low barrier to implementation [1]. Moreover, validated robust…

Physics Education · Physics 2020-06-15 Paul Justice , Emily Marshman , Chandralekha Singh

Quantum mechanics is a field often considered very mathematical, abstract, and unintuitive. One way some instructors are hoping to help familiarize their students with these complex topics is to have the students see quantum effects in…

Physics Education · Physics 2023-10-19 Victoria Borish , H. J. Lewandowski

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 prior work has shown that…

Physics Education · Physics 2015-05-30 Charles Baily , Noah D. Finkelstein

The quantum mechanical commutation relations, which are directly related to the Heisenberg uncertainty principle, have a crucial importance for understanding the quantum mechanics of students. During undergraduate level courses, the…

Physics Education · Physics 2018-04-10 A. Alper Billur , Serkan Akkoyun , Murat Bursal

Quantum computation teaches us that quantum mechanics exhibits exponential complexity. We argue that the standard scientific paradigm of "predict and verify" cannot be applied to testing quantum mechanics in this limit of high complexity.…

Quantum Physics · Physics 2012-06-19 Dorit Aharonov , Umesh Vazirani

We explore the difficulties that advanced undergraduate and graduate students have with non-relativistic quantum mechanics of a single particle in one spatial dimension. To investigate these difficulties we developed a conceptual survey and…

Physics Education · Physics 2016-02-18 Guangtian Zhu , Chandralekha Singh

Project-based learning is recognized as an effective approach for improving engagement and applied understanding in STEM education. In quantum engineering courses, however, the question is no longer only whether students benefit from…

Physics Education · Physics 2026-05-01 Nischal Binod Gautam , Enrique P. Blair

A survey was developed to probe student understanding of quantum mechanics at the beginning of graduate instruction. The survey was administered to 202 physics graduate students enrolled in first-year quantum mechanics courses from seven…

Physics Education · Physics 2016-02-23 Chandralekha Singh

We present a practical course targeting graduate students with prior knowledge of the basics of quantum computing. The practical aims to deepen students' understanding of fundamental concepts in quantum computing by implementing quantum…

Physics Education · Physics 2025-11-24 Florian Krötz , Xiao-Ting Michelle To , Korbinian Staudacher , Dieter Kranzlmüller

We are trying to identify resources students are using to reason in quantum mechanics. In this process we realize students must have not only the right resources available but sophisticated for evaluating and controlling their thought…

Physics Education · Physics 2007-05-23 Keith W. Oliver , Lei Bao

There has been strong interest among higher education institution in implementing technology-enhanced peer assessment as a tool for enhancing students' learning. However, little is known on how to use the peer assessment system in…

Physics Education · Physics 2020-02-13 Yosep Dwi Kristanto

Quantum computing is a highly abstract scientific discipline, which, however, is expected to have great practical relevance in future information technology. This forces educators to seek new methods to teach quantum computing for students…

Software Engineering · Computer Science 2026-03-11 Juha Reinikainen , Vlad Stirbu , Teiko Heinosaari , Vesa Lappalainen , Tommi Mikkonen

This is a very gentle introductory course on quantum mechanics aimed at the first years of the undergraduate level. The basic concepts are introduced, with many applications and illustrations. Contains 12 short chapters of equal length,…

Quantum Physics · Physics 2010-07-26 Bram Gaasbeek

Despite the prevalence of physics education research literature related to problem solving, recent studies have illustrated that opportunities for ``authentic'' problem solving -- conceptualized as making decisions with limited information…

Physics Education · Physics 2025-08-14 Michael E. Robbins , Guillaume M. Laurent , Eric W. Burkholder

In this case study, we investigated the effectiveness of peer interaction on responses to in-class clicker questions in an upper-level quantum mechanics course. We analyzed student performance on clicker questions answered individually and…

Physics Education · Physics 2017-02-09 Ryan Sayer , Emily Marshman , Chandralekha Singh

Compared with introductory physics, relatively little is known about the development of expertise in advanced physics courses, especially in the case of quantum mechanics. Here, we describe a framework for understanding the patterns of…

Physics Education · Physics 2016-02-18 Emily Marshman , Chandralekha Singh

We describe the development of a course of quantum mechanics for secondary school designed to address the challenges related to the revision of classical knowledge, to the building of a well-organized knowledge structure on the discipline,…

Physics Education · Physics 2024-02-21 Giacomo Zuccarini , Marisa Michelini

We present a simple, accessible, yet rigorous outreach/educational program focused on quantum information science and technology for high-school and early undergraduate students. This program allows students to perform meaningful hands-on…

Physics Education · Physics 2020-08-11 Sophia E. Economou , Terry Rudolph , Edwin Barnes