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Onorato, P. – European Journal of Physics, 2011

An introduction to quantum mechanics based on the sum-over-paths (SOP) method originated by Richard P. Feynman and developed by E. F. Taylor and coworkers is presented. The Einstein-Brillouin-Keller (EBK) semiclassical quantization rules are obtained following the SOP approach for bounded systems, and a general approach to the calculation of…

Descriptors: Quantum Mechanics, Computation, Teaching Methods, Science Instruction

Papageorgiou, George; Markos, Angelos; Zarkadis, Nikolaos – Chemistry Education Research and Practice, 2016

The current study aims to investigate students' representations of the atomic structure in a number of student cohorts with specific characteristics concerning age, grade, class curriculum and some individual differences, such as formal reasoning and field dependence/independence. Two specific task contexts, which were designed in accordance with…

Descriptors: Science Instruction, Chemistry, Molecular Structure, Nuclear Energy

Didis, Nilufer; Eryilmaz, Ali; Erkoc, Sakir – EURASIA Journal of Mathematics, Science & Technology Education, 2010

When quantum theory caused a paradigm shift in physics, it introduced difficulties in both learning and teaching of physics. Because of its abstract, counter-intuitive and mathematical structure, students have difficulty in learning this theory, and instructors have difficulty in teaching the concepts of the theory. This case study investigates…

Descriptors: Fundamental Concepts, Quantum Mechanics, Physics, Interviews

Stewart, Brianna; Hylton, Derrick J.; Ravi, Natarajan – Journal of Chemical Education, 2013

A systematic way to understand the intricacies of quantum mechanical computations done by a software package known as "Gaussian" is undertaken via an undergraduate research project. These computations involve the evaluation of key parameters in a fitting procedure to express a Slater-type orbital (STO) function in terms of the linear…

Descriptors: Science Instruction, College Science, Chemistry, Computer Assisted Instruction

Ge, Yingbin; Rittenhouse, Robert C.; Buchanan, Jacob C.; Livingston, Benjamin – Journal of Chemical Education, 2014

We have designed an exercise suitable for a lab or project in an undergraduate physical chemistry course that creates a Microsoft Excel spreadsheet to calculate the energy of the S[subscript 0] ground electronic state and the S[subscript 1] and T[subscript 1] excited states of H[subscript 2]. The spreadsheet calculations circumvent the…

Descriptors: Spreadsheets, Equations (Mathematics), Science Instruction, Chemistry

Durr, Detlef; Grummt, Robert; Kolb, Martin – European Journal of Physics, 2011

Gamow's explanation of the exponential decay law uses complex "eigenvalues" and exponentially growing "eigenfunctions". This raises the question, how Gamow's description fits into the quantum mechanical description of nature, which is based on real eigenvalues and square integrable wavefunctions. Observing that the time evolution of any…

Descriptors: Graduate Students, Physics, College Science, Science Instruction

Fernandez, Francisco M. – European Journal of Physics, 2011

We propose a simple and straightforward method based on Wronskians for the calculation of bound-state energies and wavefunctions of one-dimensional quantum-mechanical problems. We explicitly discuss the asymptotic behaviour of the wavefunction and show that the allowed energies make the divergent part vanish. As illustrative examples we consider…

Descriptors: Science Instruction, Computation, Physics, Problem Solving

Ruckle, L. J.; Belloni, M.; Robinett, R. W. – European Journal of Physics, 2012

The biharmonic oscillator and the asymmetric linear well are two confining power-law-type potentials for which complete bound-state solutions are possible in both classical and quantum mechanics. We examine these problems in detail, beginning with studies of their trajectories in position and momentum space, evaluation of the classical probability…

Descriptors: Probability, Quantum Mechanics, Science Instruction, Physics

Hnizdo, V. – European Journal of Physics, 2012

In nonrelativistic quantum mechanics, the total (i.e. orbital plus spin) angular momentum of a charged particle with spin that moves in a Coulomb plus spin-orbit-coupling potential is conserved. In a classical nonrelativistic treatment of this problem, in which the Lagrange equations determine the orbital motion and the Thomas equation yields the…

Descriptors: Quantum Mechanics, Motion, Physics, Science Instruction

Baily, Charles; Finkelstein, Noah D. – Physical Review Special Topics - Physics Education Research, 2010

Just as expert physicists vary in their personal stances on interpretation in quantum mechanics, instructors vary on whether and how to teach interpretations of quantum phenomena in introductory modern physics courses. In this paper, we document variations in instructional approaches with respect to interpretation in two similar modern physics…

Descriptors: Quantum Mechanics, Physics, Teaching Methods, Science Instruction

Oss, Stefano; Rosi, Tommaso – Physics Teacher, 2015

We have developed an app for iOS-based smart-phones/tablets that allows a 3-D, complex phase-based colorful visualization of hydrogen atom wave functions. Several important features of the quantum behavior of atomic orbitals can easily be made evident, thus making this app a useful companion in introductory modern physics classes. There are many…

Descriptors: Computer Oriented Programs, Handheld Devices, Visual Aids, Science Instruction

Dori, Yehudit Judy; Dangur, Vered; Avargil, Shirly; Peskin, Uri – Journal of Chemical Education, 2014

Chemistry students in Israel have two options for studying chemistry: basic or honors (advanced placement). For instruction in high school honors chemistry courses, we developed a module focusing on abstract topics in quantum mechanics: Chemistry--From the Nanoscale to Microelectronics. The module adopts a visual-conceptual approach, which…

Descriptors: Science Instruction, Chemistry, Foreign Countries, Quantum Mechanics

Flannigan, David J. – Journal of Chemical Education, 2014

A simple Excel spreadsheet-based program for simulating atomic emission spectra from the properties of neutral atoms (e.g., energies and statistical weights of the electronic states, electronic partition functions, transition probabilities, etc.) is described. The contents of the spreadsheet (i.e., input parameters, formulas for calculating…

Descriptors: Spreadsheets, Simulation, College Science, Chemistry

Khanna, F. C.; Mello, P. A.; Revzen, M. – European Journal of Physics, 2012

The aim of this paper is to present the subject of state reconstruction in classical and in quantum physics, a subject that deals with the experimentally acquired information that allows the determination of the physical state of a system. Our first purpose is to explain a method for retrieving a classical state in phase space, similar to that…

Descriptors: Probability, Quantum Mechanics, Textbooks, Mechanics (Physics)

Natarelli, Larissa I. – ProQuest LLC, 2011

This dissertation focuses on quantum linguistics, a sub-field of philosophy of language, preoccupied with studying of the processes on a virtual drive of the human mind: patterns and dynamics of thoughts, verbal and non-verbal codification, cultural conditioning, and foreign language acquisition. While adopting an educational perspective fitting…

Descriptors: Second Language Learning, Linguistics, Philosophy, Humanism