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This book is an attempt to help students transform all of the concepts of quantum mechanics into concrete computer representations, which can be constructed, evaluated, analyzed, and hopefully understood at a deeper level than what is…

Quantum Physics · Physics 2020-01-22 Roman Schmied

This study presents a review of the current state of research on teaching quantum mechanics in secondary and lower undergraduate education. A conceptual approach to quantum mechanics is being implemented in more and more introductory…

Physics Education · Physics 2017-05-15 Kim Krijtenburg-Lewerissa , Henk Pol , Alexander Brinkman , Wouter van Joolingen

Development of conceptual multiple-choice tests related to a particular physics topic is important for designing research-based learning tools to reduce the difficulties. We explore the difficulties that the advanced undergraduate and…

Physics Education · Physics 2016-02-22 Chandralekha Singh , Guangtian Zhu

Quantum Computing is an exciting field that draws from information theory, computer science, mathematics, and quantum physics to process information in fundamentally new ways. There is an ongoing race to develop practical quantum computers…

Physics Education · Physics 2023-05-16 Tunde Kushimo , Beth Thacker

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

We present an introduction to the Quantum Toolbox in Python (QuTiP) in the context of an undergraduate quantum mechanics class and potential senior research projects. QuTiP provides ready-to-use definitions of standard quantum states and…

Physics Education · Physics 2019-10-01 Andrew M. C. Dawes

The perspectives of introductory classical physics students can often negatively influence how those students later interpret quantum phenomena when taking an introductory course in modern physics. A detailed exploration of student…

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

How students use mathematics in their physics classes has been studied extensively in the physics education literature. In addition to specific mathematical methods in specific physics contexts, possible effects of more general "cultural"…

Physics Education · Physics 2024-09-05 Jeffrey M. Rabin , Andrew Meyertholen , Brian Shotwell

Quantum mechanics is challenging even for advanced undergraduate and graduate students. In the Schr\"odinger representation, the wave function evolves in time according to the time dependent Schr\"odinger equation. The time dependence of…

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

We report on a large-scale study of student learning of quantum tunneling in 4 traditional and 4 transformed modern physics courses. In the transformed courses, which were designed to address student difficulties found in previous research,…

Physics Education · Physics 2017-04-14 S. B. McKagan , K. K. Perkins , C. E. Wieman

Significant attention in the PER community has been paid to student cognition and reasoning processes in undergraduate quantum mechanics. Until recently, however, these same topics have remained largely unexplored in the context of emerging…

Physics Education · Physics 2023-04-26 Josephine C. Meyer , Gina Passante , Steven J. Pollock , Bethany R. Wilcox

Dirac notation is used commonly in quantum mechanics. However, many upper-level undergraduate and graduate students in physics have difficulties with representations of quantum operators corresponding to observables especially when using…

Physics Education · Physics 2017-01-06 Emily Marshman , Chandralekha Singh

Instruction in quantum mechanics is becoming increasingly important as the field is not only a key part of modern physics research, but is also important for emerging technologies. However, many students regard quantum mechanics as a…

Physics Education · Physics 2025-02-04 Victoria Borish , H. J. Lewandowski

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

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 present article is an empirical study that investigates the learning situation of linear algebra. Research was performed among 60 science and engineering students from different universities in Zhejiang, Jiangsu, Hubei, and Shandong who…

History and Overview · Mathematics 2024-11-07 Xuefei Lin , Guangyu Xu , Lei Peiyao , Bin Xiong

Most introductory quantum physics instructors would agree that transitioning students from classical to quantum thinking is an important learning goal, but may disagree on whether or how this can be accomplished. Although (and perhaps…

Physics Education · Physics 2015-10-28 Charles Baily , Noah D. Finkelstein

Quantum computing harnesses quantum laws of nature to enable new types of algorithms, not efficiently possible on traditional computers, that may lead to breakthroughs in crucial areas like materials science and chemistry. There is rapidly…

Physics Education · Physics 2020-10-16 Mariia Mykhailova , Krysta M. Svore

What are the differences and similarities between atomic-physics studies at different peoples (Han, Kazak and Uygur perples in the same university) across Xinjiang (a far-west district in PR China which is a border for previous USSR and…

General Physics · Physics 2009-11-30 Chen Qin , Zotin K. -H. Chu

Students' difficulties in quantum mechanics may be the result of unproductive framing and not a fundamental inability to solve the problems or misconceptions about physics content. We observed groups of students solving quantum mechanics…

Physics Education · Physics 2017-08-23 Bahar Modir , John D. Thompson , Eleanor C Sayre