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Performance in introductory courses, particularly physics, is often crucial for student success in STEM majors and can impact an individual's tendency to persist in their chosen field. To enhance students' individual learning experiences,…

We consider a non-relativistic particle in a one-dimensional box with all possible quantum boundary conditions that make the kinetic-energy operator selfadjoint. We determine the Wigner functions of the corresponding eigenfunctions and…

Quantum Physics · Physics 2024-10-08 Giuliano Angelone , Paolo Facchi , Marilena Ligabò

Student learning in upper division thermal physics has not been studied to the same extent as in other courses like electromagnetism and quantum mechanics. Studies addressing reasoning and learning at the graduate level are even more…

Physics Education · Physics 2021-09-29 Nathan Crossette , Michael Vignal , Bethany R. Wilcox

Environmental Education (EE) is vital for shaping citizens who understand and value sustainability as an epistemological and practical alternative to mitigate current environmental issues. This research was prompted by the exploration of…

Machine-learning based methods like physics-informed neural networks and physics-informed neural operators are becoming increasingly adept at solving even complex systems of partial differential equations. Boundary conditions can be…

Numerical Analysis · Mathematics 2025-10-29 Niklas Göschel , Sebastian Götschel , Daniel Ruprecht

The method of images (MoI) is a valuable technique for solving certain electrostatic boundary value problems consisting of charge density near conductor(s). We developed and validated an inquiry-based tutorial on MoI to help students learn…

Physics Education · Physics 2026-04-13 Jaya Shivangani Kashyap , Robert P. Devaty , Chandralekha Singh

Understanding Maxwell's equations in differential form is of great importance when studying the electrodynamic phenomena discussed in advanced electromagnetism courses. It is therefore necessary that students master the use of vector…

Physics Education · Physics 2015-09-03 Laurens Bollen , Paul van Kampen , Mieke De Cock

Free boundary problems are those described by PDEs that exhibit a priori unknown (free) interfaces or boundaries. These problems appear in Physics, Probability, Biology, Finance, or Industry, and the study of solutions and free boundaries…

Analysis of PDEs · Mathematics 2017-07-05 Xavier Ros-Oton

The electromagnetic interaction is characterised by discrete states for bound systems in contrast to continuous states for unbound systems. The difference merely arises because the characteristic equations do not exhibit the same behaviour…

General Physics · Physics 2007-05-23 Alasdair Macleod

Students with disabilities are enrolling in postsecondary education in increasing numbers and in science, technology, engineering, and mathematics (STEM) at steady rates since the early 1990s. Specifically, in 2014, the National Center on…

Physics Education · Physics 2024-06-19 Amanda Lannan , Erin Scanlon , Jacquelyn J. Chini

Researchers in physics education have advocated both for including modeling in science classrooms as well as promoting student engagement with sensemaking. These two processes facilitate the generation of new knowledge by connecting to…

Physics Education · Physics 2023-01-31 Amogh Sirnoorkar , James T. Laverty , Paul D. O. Bergeron

This is the first paper of a series aiming to present a new teaching sequence for Particle Physics in high school. We propose a systematic discussion of the subject, covering not only the understanding of its key concepts, but also of the…

Physics Education · Physics 2021-08-27 Glauber Carvalho Dorsch , Thaisa Carneiro da Cunha Guio

Physics students can encounter difficulties in physics problem solving as a result of failing to use knowledge that they have but do not perceive as relevant or appropriate. In previous work the authors have demonstrated that some of these…

Physics Education · Physics 2012-09-05 Thomas J. Bing , Edward F. Redish

In a configuration space whose boundary can be identified with a subset of its interior, a boundary condition can relate the behaviour of a function on the boundary and in the interior. Additionally, boundary values can appear as additive…

Spectral Theory · Mathematics 2025-06-19 Tim Binz , Jonas Lampart

We describe an extracurricular learning path on waves focused on energy transfer. The advantages of introducing mechanical waves by using the Shive wave machine and laboratory activities are presented. Laboratories are realized by inquiry,…

Physics Education · Physics 2016-01-08 Vera Montalbano , Simone Di Renzone

We redesigned an advanced physics laboratory course to include a project component. The intention was to address learning outcomes such as modeling, design of experiments, teamwork, and developing technical skills in using apparatus and…

Physics Education · Physics 2022-07-06 Bei Cai , Lindsay Mainhood , Robert G. Knobel

We use the Survey of Thermodynamic Processes and First and Second Laws-Long (STPFaSL-Long), a research-based survey instrument with 78 items at the level of introductory physics, to investigate introductory and advanced students'…

Physics Education · Physics 2024-08-05 Mary Jane Brundage , David E. Meltzer , Chandralekha Singh

Framing affects how students interpret, approach, and accomplish tasks. Little is known, however, about how students frame tasks in physics labs. During the first lab of a sequence designed to teach students about modeling and critical…

Physics Education · Physics 2019-06-28 Emily M. Smith , Martin M. Stein , N. G. Holmes

Energy concepts are fundamental across the sciences, yet these concepts can be fragmented along disciplinary boundaries, rather than integrated into a coherent whole. To teach physics effectively to biology students, we need to understand…

Physics Education · Physics 2015-05-28 Benjamin W. Dreyfus , Edward F. Redish , Jessica Watkins

In this paper, we present the general governing equations of electrodynamics and continuum mechanics that need to be considered while mathematically modelling the behaviour of electromagnetic acoustic transducers (EMATs). We consider the…

Mathematical Physics · Physics 2015-02-10 Prashant Saxena
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