Accurate energy eigenvalues and eigenfunctions for the two-dimensional confined hydrogen atom

A study of the two‐dimensional hydrogen atom confined within a circle of impenetrable walls is presented. The potential inside the box is Coulomb type, whereas outside it is infinite. The energy eigenvalues and some radial wave function properties are computed with high accuracy for different box si...

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Bibliographic Details
Published in:International journal of quantum chemistry 2005, Vol.103 (3), p.267-277
Main Authors: Aquino, N., Campoy, G., Flores-Riveros, A.
Format: Article
Language:English
Subjects:
confined quantum systems
energy eigenvalues and eigenfunctions
energy level inversion
polarizability and Fermi contact term
two-dimensional hydrogen atom
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Summary:A study of the two‐dimensional hydrogen atom confined within a circle of impenetrable walls is presented. The potential inside the box is Coulomb type, whereas outside it is infinite. The energy eigenvalues and some radial wave function properties are computed with high accuracy for different box sizes. We derive the polarizability in the Kirkwood approximation, calculate the Fermi contact term as a function of the confinement radius, and investigate the filling order of the one‐electron states. When the electronic configuration of many electrons is constructed by means of the Aufbau principle, the model predicts the inversion 2s–3d levels in the N atom. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2005
ISSN:0020-7608
1097-461X
DOI:10.1002/qua.20508