[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…

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…

Understanding perceptions of graduate admissions from multiple stakeholders can cultivate an improved understanding about the process of graduate induction, the role that admissions plays in restricting diversity in physics, and contribute to more informed practices for all involved. Prior studies in graduate admissions have reported on how…

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…

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…

In the 2011-12 academic year there were 751 degree-granting physics departments in the U.S. Of these, 195 offered a PhD and 62 departments offered a master's as the highest physics degree. The remaining 494 departments offered a bachelor's as their highest physics degree. There were six universities that had two doctoral-granting physics…

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…

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…

The behaviour of a quantum rod, pivoted at its lower end on an impenetrable floor and restricted to moving in the vertical plane under the gravitational potential, is studied analytically under the approximation that the rod is initially localized to a "small-enough" neighbourhood around the point of classical unstable equilibrium. It is shown…

We study the nonlinear oscillations of a forced and weakly dissipative spring-magnet system moving in the magnetic fields of two fixed coaxial, hollow induction coils. As the first coil is excited with a dc current, both a linear and a cubic magnet-position dependent force appear on the magnet-spring system. The second coil, located below the…

Many modern theories which try to unify gravity with the Standard Model of particle physics, such as e.g. string theory, propose two key modifications to the commonly known physical theories: the existence of additional space dimensions; the existence of a minimal length distance or maximal resolution. While extra dimensions have received a wide…