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arXiv · 2405.14417

The hydrogen atom perturbed by a 1-dimensional Simple Harmonic Oscillator (1d-SHO) potential

C. Santamarina Ríos·P. Rodríguez Cacheda·J. J. Saborido Silva
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Abstract

The hydrogen atom perturbed by a constant 1-dimensional weak quadratic potential $\lambda z^2$ is solved at first-order perturbation theory using the eigenstates of the total angular momentum operator - the coupled basis. Physical applications of this result could be found, for example, in the study of a quadratic Zeeman effect weaker than fine-structure effects, or in a perturbation caused by instantaneous generalised van der Waals interactions.

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C. Santamarina Ríos, P. Rodríguez Cacheda, J. J. Saborido Silva. 2024-05-23. The hydrogen atom perturbed by a 1-dimensional Simple Harmonic Oscillator (1d-SHO) potential. https://arxiv.org/abs/2405.14417

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