The confined hydrogen atom with a moving nucleus

Abstract

We study the hydrogen atom confined to a spherical box with impenetrable walls but, unlike earlier pedagogical articles on the subject, we assume that the nucleus also moves. We obtain the ground-state energy approximately by means of first--order perturbation theory and by a more accurate variational approach. We show that it is greater than the one for the case in which the nucleus is clamped at the center of the box. Present approach resembles the well-known treatment of the helium atom with clamped nucleus.

References in corpus (1)

• Confined One Dimensional Harmonic Oscillator as a Two-Mode System

Cited by in corpus (4)

• Quantifying errors of the electron-proton/muon correlation functionals through the Kohn-Sham inversion of a two-component model system
• Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
• Endohedrally confined hydrogen atom with a moving nucleus
• Variational and perturbative approaches to the confined hydrogen atom with a moving nucleus