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The three-dimensional hydrogen atom as a restricted four-dimensional harmonic oscillator

Authors
Journal
Physica
0031-8914
Publisher
Elsevier
Publication Date
Volume
65
Issue
2
Identifiers
DOI: 10.1016/0031-8914(73)90353-4
Disciplines
  • Physics

Abstract

Abstract It is shown that the study of the quantum hydrogen-atom problem is equivalent to that of a quantum harmonic-oscillator problem in four dimensions, restricted by a superselection rule which results from the invariance of the physical states under the transformations of a one-parametric subgroup of O(4), the kernel of the transformation used. A projected hamiltonian is built up and a specific perturbational technique is developed.

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