One-dimensional models for two-electron systems

Abstract
One-dimensional models for two-electron systems resembling the helium atom and hydrogen molecule are studied using δ-function potentials between all particles. It is noted that the essential features of the helium atom and hydrogen molecule ground states are exhibited by these models. The calculations are simple and useful pedagogical tools for illustrating the techniques used in more complicated and realistic calculations of energy eigenvalues and eigenfunctions.

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