The use of a computer in undergraduate physics courses opens the door to a large number of instructive problems which were once precluded due to the necessity of numerical analysis. One such example for elementary quantum mechanics is the problem of a bound system of more than two particles which may be solved by the method of the self-consistent field (SCF). This paper discusses one-dimensional systems of particles whose solutions are obtained by the SCF method using the Hartree approximation. The procedure is shown to be a simple extension of programs which many undergraduates already use to obtain computer solutions of the Schrödinger equation in one dimention. Calculations for these systems serve as a useful introduction to iterative techniques, and the results provide the student with insight into the nature of atomic calculations for multi-electron atoms.
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PAPERS| January 01 1974
Enriching Elementary Quantum Mechanics with the Computer: Self-Consistent Field Problems in One Dimension
Jay S. Bolemon;
Jay S. Bolemon, David J. Etzold; Enriching Elementary Quantum Mechanics with the Computer: Self-Consistent Field Problems in One Dimension. Am. J. Phys. 1 January 1974; 42 (1): 33–42. https://doi.org/10.1119/1.1987597
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