Variational treatment of the confined hydrogen atom with a moving nucleus

DOI10.1088/0143-0807/31/3/018zbMATH Open1189.81272arXiv1009.2154OpenAlexW3123417685MaRDI QIDQ3566485

Francisco M. Fernández

Publication date: 8 June 2010

Published in: European Journal of Physics (Search for Journal in Brave)

Abstract: We calculate the ground--state energy and other physical properties of the hydrogen atom inside a spherical box with an impenetrable wall. We apply the variational method and perturbation theory and compare both approximate results. We show that the total, kinetic and potential energies for the moving--nucleus model are greater than those for the case in which the nucleus is clamped at the box center.

Full work available at URL: https://arxiv.org/abs/1009.2154

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45)

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