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

The hydrogen atom perturbed by a constant 1-dimensional weak quadratic potential λz 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 qua...

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Published in:Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2024-12, Vol.57 (24)
Main Authors: Santamarina Ríos, C, Rodríguez Cacheda, P, Saborido Silva, J J
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Language:English
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hydrogen atom
quadratic perturbation
van der Waals interactions
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Rodríguez Cacheda, P
Saborido Silva, J J
description The hydrogen atom perturbed by a constant 1-dimensional weak quadratic potential λz 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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subjects hydrogen atom
quadratic perturbation
van der Waals interactions
title The hydrogen atom perturbed by a 1-dimensional Simple Harmonic Oscillator (1d-SHO) potential
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