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Dean, Kevin – European Journal of Physics Education, 2017

This paper represents a continuation of the theoretical and computational work from an earlier publication, with the present calculations using exactly the same physical values for the lengths L (0.435 m - 2.130 m) for the conical pendulum, mass m = 0.1111 kg, and with the local value of the acceleration due to gravity g = 9.789 ms[superscript…

Descriptors: Physics, Science Instruction, Graphs, Equations (Mathematics)

Restricted Closed Shell Hartree Fock Roothaan Matrix Method Applied to Helium Atom Using Mathematica

Acosta, César R.; Tapia, J. Alejandro; Cab, César – European Journal of Physics Education, 2014

Slater type orbitals were used to construct the overlap and the Hamiltonian core matrices; we also found the values of the bi-electron repulsion integrals. The Hartree Fock Roothaan approximation process starts with setting an initial guess value for the elements of the density matrix; with these matrices we constructed the initial Fock matrix.…

Descriptors: Science Instruction, Physics, Matrices, Scientific Concepts

Shivalingaswamy, T.; Kagali, B. A. – European Journal of Physics Education, 2011

Energy eigenvalues for a non-relativistic particle in a linear potential well are available. In this paper we obtain the eigenenergies for a relativistic spin less particle in a similar potential using an extension of the well-known WKB method treating the potential as the time component of a four-vector potential. Since genuine bound states do…

Descriptors: Science Instruction, Physics, Scientific Concepts, Molecular Structure