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arXiv · 1205.5462

Hydrogen supersymmetry: A new method in perturbation theory

E. A. Muljarov
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Abstract

The O(4) supersymmetry of the hydrogen atom is utilized to construct a complete basis using only the bound state wave functions. For a large class of perturbations, an expansion of the electron (exciton) wave function into such a complete set reduces the perturbed Schroedinger equation to a standard eigenvalue problem with an equidistant unperturbed spectrum. A high-order polarizability of the ground state of the hydrogen atom in a static electric field is calculated via Rayleigh-Schroedinger perturbation theory for illustration of the new method.

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BibTeXRIS

E. A. Muljarov. 2012-05-24. Hydrogen supersymmetry: A new method in perturbation theory. https://doi.org/10.1002/1521-3951(200211)234%3A1%3C463

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