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Wheeldon, Ruth – Journal of Science Education and Technology, 2012

Chemistry students' explanations of ionisation energy phenomena often involve a number of non-scientific or inappropriate ideas being used to form causality arguments. Research has attributed this to many science teachers using these ideas themselves (Tan and Taber, in "J Chem Educ" 86(5):623-629, 2009). This research extends this work by…

Descriptors: Science Teachers, Teacher Attitudes, Chemistry, Scientific Concepts

Rapedius, Kevin – European Journal of Physics, 2011

Here, we present complex resonance states (or Siegert states) that describe the tunnelling decay of a trapped quantum particle from an intuitive point of view that naturally leads to the easily applicable Siegert approximation method. This can be used for analytical and numerical calculations of complex resonances of both the linear and nonlinear…

Descriptors: Quantum Mechanics, Equations (Mathematics), Computation, Energy

Peer reviewed

Bolemon, Jay S. – American Journal of Physics, 1972

A student method for the calculation of the electron wavefunction in a central-field potential using the technique of numerical calculation of stationary state solutions. (DF)

Descriptors: Atomic Structure, College Science, Computer Assisted Instruction, Instructional Materials

Peer reviewed

Evans, D. E. – Physics Education, 1980

Describes a general purpose algorithm which enables one to calculate the allowed energy eigenvalues for an arbitrary potential. Results of a calculation where a centrifugal potential is added to the hydrogenic Coulomb potential are discussed. (Author/HM)

Descriptors: Atomic Structure, College Science, Computation, Energy

McKagan, S. B.; Perkins, K. K.; Wieman, C. E. – Physical Review Special Topics - Physics Education Research, 2008

Some education researchers have claimed that we should not teach the Bohr model of the atom because it inhibits students' ability to learn the true quantum nature of electrons in atoms. Although the evidence for this claim is weak, many have accepted it. This claim has implications for how to present atoms in classes ranging from elementary school…

Descriptors: Teaching Methods, Science Instruction, Molecular Structure, Models

Fernandez, Francisco M. – European Journal of Physics, 2010

We present a simple one-dimensional quantum-mechanical model for a particle attached to a surface. It leads to the Schrodinger equation for a harmonic oscillator bounded on one side that we solve in terms of Weber functions and discuss the behaviour of the eigenvalues and eigenfunctions. We derive the virial theorem and other exact relationships…

Descriptors: Quantum Mechanics, Mechanics (Physics), Science Instruction, Models

Peer reviewed

Hanle, Paul A. – American Journal of Physics, 1979

Schrodinger-Einstein correspondence reveals the fact that deBroglie's doctoral thesis provided Schrodinger with much of the background and inspiration that enabled him to invent wave mechanics. (GA)

Descriptors: Atomic Theory, College Science, Higher Education, Mechanics (Physics)

Smith, J. Lynn – Amer J Phys, 1970

Describes mechanical systems which serve as analogs to phenomena connected with the time independent Schrodinger wave education. Bibliography. (LC)

Descriptors: College Science, Models, Physics, Quantum Mechanics

Lekner, John – European Journal of Physics, 2008

Any free-particle wavepacket solution of Schrodinger's equation can be converted by differentiations to wavepackets rotating about the original direction of motion. The angular momentum component along the motion associated with this rotation is an integral multiple of [h-bar]. It is an "intrinsic" angular momentum: independent of origin and…

Descriptors: Quantum Mechanics, Motion, Physics, Science Instruction

Peer reviewed

Summers, M. K. – Physics Education, 1977

Describes how first- and second-order differential equations applied to the Schrodinger equation can be used to obtain the wavefunctions of the quantum harmonic oscillator. (SL)

Descriptors: College Science, Compulsory Education, Higher Education, Instruction

Marin, Juan Miguel – European Journal of Physics, 2009

This paper argues that a European controversy over a "mystical" hypothesis, one assigning the mind a role to play at the material level of reality, shaped much of the debate over the interpretation of the quantum equations. It traces back the controversy to the past two decades, beginning in the late 1920s--birth of quantum theory--and concluding…

Descriptors: Quantum Mechanics, Cultural Background, Science Instruction, Equations (Mathematics)

Coutinho, F. A. B.; Amaku, M. – European Journal of Physics, 2009

In this paper, we consider solutions to the three-dimensional Schrodinger equation of the form [psi](r) = u(r)/r, where u(0) [is not equal to] 0. The expectation value of the kinetic energy operator for such wavefunctions diverges. We show that it is possible to introduce a potential energy with an expectation value that also diverges, exactly…

Descriptors: Quantum Mechanics, Kinetics, Physics, Science Instruction

Hecht, Jeffrey B. – 1991

The analysis of regression residuals and detection of outliers are discussed, with emphasis on determining how deviant an individual data point must be to be considered an outlier and the impact that multiple suspected outlier data points have on the process of outlier determination and treatment. Only bivariate (one dependent and one independent)…

Descriptors: Data Analysis, Evaluation Methods, Least Squares Statistics, Regression (Statistics)

Solution of the Schrodinger Equation for the Hydrogen Atom using a Modular Analogue Computing System

Peer reviewed

Summers, M. K. – Physics Education, 1975

Descriptors: Atomic Structure, College Science, Computer Assisted Instruction, Energy

Peer reviewed

Branson, David – American Journal of Physics, 1979

Several standard arguments which attempt to show that the wave function and its derivative must be continuous across jump discontinuities of the potential are reviewed and their defects discussed. (Author/HM)

Descriptors: College Science, Higher Education, Mechanics (Physics), Physics