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Journal of Physics A Mathematical and General

The hydrogen atom and the four-dimensional harmonic oscillator

F. H. J. Cornish

Published Feb 1, 1984• 50 citations
Publisher

Abstract

Through the introduction of two complex stereographic variables it is shown that the Schrodinger equation for the bound states of hydrogen reduced to the wave equation for two coupled two-dimensional harmonic oscillators. The wavefunctions obtained by this means are the same as those which arise using parabolic coordinates.
DOI
10.1088/0305-4470/17/2/018

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