[This paper is part of the Focused Collection in Investigating and Improving Quantum Education through Research.] One of the greatest weaknesses of physics education research is the paucity of research on graduate education. While there are a growing number of investigations of graduate student degree progress and admissions, there are very few…

The quantum mechanics of a simplified Pöschl-Teller potential in one dimension is analyzed at an elementary level. The number of bound states of this potential is determined by a parameter "l" characterizing the depth of the potential energy. The resulting collection of potentials with varying depth, as well as their ground state…

This mixed-method study represents a broad evaluation of the physics views of Mississippi physics students and physicists, along with an analysis of graduate school data, in a search for answers which might improve physics education in Mississippi. Descriptive statistics were calculated using data from eight graduate degree programs (from Fall…

Energy measurements play a fundamental role in the theory of quantum mechanics, yet there is evidence that the underlying concepts are difficult for many students, even after all undergraduate instruction. We present results from an investigation into student ability to determine the possible energies that can be measured for a given wave function…

This study is composed of several projects in the field of physics education research. First, investigations into flipped physics classrooms at the senior and graduate level show that students uniformly agree that the active learning techniques (peer instruction, group problem solving, etc.) were beneficial to their learning regardless of their…

Acquiring sufficient content knowledge to lead effectively in the classroom is one of the greatest challenges for beginning teachers. National and state agencies have made significant investments in content-specific induction supports, but these efforts have not been informed by any empirical evidence regarding the topic-level content knowledge of…

The purpose of this work is to reconsider and critically discuss the conceptual foundations of modern biology and bio-sciences in general, and provide an epistemological guideline to help framing the teaching of these disciplines and enhancing the quality of their presentation in High School, Master and Ph.D. courses. After discussing the…

"Proceedings of International Conference on Humanities, Social and Education Sciences" includes full papers presented at the International Conference on Humanities, Social and Education Sciences (iHSES) which took place on April 16-19, 2024, in San Francisco, California, United States of America. The aim of the conference is to offer…

An old comedy routine on Saturday Night Live by Father Guido Sarducci introduced a "Five-Minute University," because five minutes is all that's remembered after graduation anyway. In counterpoint, we discuss "cycling," a teaching method for memory enhancement. Our principal implementation consists of offering a simple version…

Mathematics plays a crucial role in physics. This role is brought about predominantly through the building, employment, and assessment of mathematical models, and teachers and educators should capture this relationship in the classroom in an effort to improve students' achievement and attitude in both physics and mathematics. But although there…

Superposition gives rise to the probabilistic nature of quantum mechanics and is therefore one of the concepts at the heart of quantum mechanics. Although we have found that many students can successfully use the idea of superposition to calculate the probabilities of different measurement outcomes, they are often unable to identify the…

It is shown how the time-dependent Schrodinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equation of classical mechanics. Schrodinger's own published derivations of quantum wave equations, the first of which was also based on the Hamilton-Jacobi…

In experimental physics, lab notebooks play an essential role in the research process. For all of the ubiquity of lab notebooks, little formal attention has been paid to addressing what is considered "best practice" for scientific documentation and how researchers come to learn these practices in experimental physics. Using interviews…

Franck-Condon factors (FCFs) play a crucial role in determining the intensities of the vibrational bands in electronic transitions. In this article, a relatively simple method to calculate the FCFs is illustrated. An algorithm for the Fourier Grid Hamiltonian (FGH) method for computing the vibrational wave functions and the corresponding energy…

In physics education, equations are commonly seen as calculation tools to solve problems or as concise descriptions of experimental regularities. In physical science, however, equations often play a much more important role associated with the formulation of theories to provide explanations for physical phenomena. In order to overcome this…