Perturbation theory for the Stark effect in a two-dimensional hydrogenlike atom

Francisco M. Fernandez; Jorge A. Morales

doi:10.1016/0375-9601(92)90500-L

Perturbation theory for the Stark effect in a two-dimensional hydrogenlike atom

Francisco M. Fernandez, Jorge A. Morales

Chemistry and Biochemistry

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Abstract

We apply Rayleigh-Schrödinger perturbation theory to the Stark effect in a two-dimensional hydrogenlike atom and obtain large-order perturbation corrections to the energy by means of a recurrencerelation among moments of the wavefunction. The method is suitable for symbolic computation which enables one to calculate the perturbation corrections exactly. We explicity calculate the Stark shift for the ground state and the splitting of the first excited energy level thus showing, in the latter case, how to apply the method to degenerate states.

Original language	English
Pages (from-to)	314-319
Number of pages	6
Journal	Physics Letters A
Volume	165
Issue number	4
DOIs	https://doi.org/10.1016/0375-9601(92)90500-L
State	Published - May 25 1992

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abstract = "We apply Rayleigh-Schr{\"o}dinger perturbation theory to the Stark effect in a two-dimensional hydrogenlike atom and obtain large-order perturbation corrections to the energy by means of a recurrencerelation among moments of the wavefunction. The method is suitable for symbolic computation which enables one to calculate the perturbation corrections exactly. We explicity calculate the Stark shift for the ground state and the splitting of the first excited energy level thus showing, in the latter case, how to apply the method to degenerate states.",

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N2 - We apply Rayleigh-Schrödinger perturbation theory to the Stark effect in a two-dimensional hydrogenlike atom and obtain large-order perturbation corrections to the energy by means of a recurrencerelation among moments of the wavefunction. The method is suitable for symbolic computation which enables one to calculate the perturbation corrections exactly. We explicity calculate the Stark shift for the ground state and the splitting of the first excited energy level thus showing, in the latter case, how to apply the method to degenerate states.

AB - We apply Rayleigh-Schrödinger perturbation theory to the Stark effect in a two-dimensional hydrogenlike atom and obtain large-order perturbation corrections to the energy by means of a recurrencerelation among moments of the wavefunction. The method is suitable for symbolic computation which enables one to calculate the perturbation corrections exactly. We explicity calculate the Stark shift for the ground state and the splitting of the first excited energy level thus showing, in the latter case, how to apply the method to degenerate states.

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Perturbation theory for the Stark effect in a two-dimensional hydrogenlike atom

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